How Do I Solve This Equation 5x+7=3x-5 (2024)

Mathematics High School

Answers

Answer 1

Answer:

x = -6

Step-by-step explanation:

Simplifying

5x + 7 = 3x + -5

Reorder the terms:

7 + 5x = 3x + -5

Reorder the terms:

7 + 5x = -5 + 3x

Solving

7 + 5x = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

7 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x

7 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + 2x = -5 + 0

7 + 2x = -5

Add '-7' to each side of the equation.

7 + -7 + 2x = -5 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = -5 + -7

2x = -5 + -7

Combine like terms: -5 + -7 = -12

2x = -12

Divide each side by '2'.

x = -6

Simplifying

x = -6

Answer 2

The solution to the equation 5x + 7 = 3x - 5 is x = -6.

We have,

To solve the equation 5x + 7 = 3x - 5, we need to isolate the variable x on one side of the equation.

Here's how we can do that:

Start by subtracting 3x from both sides of the equation to move all the x terms to one side:

5x + 7 - 3x = 3x - 5 - 3x

Simplifying, we get:

2x + 7 = -5

Next, subtract 7 from both sides of the equation to isolate the term with x:

2x + 7 - 7 = -5 - 7

Simplifying, we get:

2x = -12

Now, to solve for x, we divide both sides of the equation by 2:

(2x)/2 = (-12)/2

Simplifying, we get:

x = -6

Thus,

The solution to the equation 5x + 7 = 3x - 5 is x = -6.

Learn more about equations here:

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Related Questions


A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price.
What is the total percentage discount on the shirt? PLEASEEEE HELPPPP

Answers

Answer:20%

Step-by-step explanation: 10% because the shirt was already discounted and another 10% from the coupon

Figure ABCD is a parallelogram. Is triangle ADB congruent to triangle CBD? Show or explain your reasoning​

Answers

Answer:

yes it's congruent.

Step-by-step explanation:

in a parellelogram, all sides and angles are equal.

ΔADB is congruent to ΔCBD.

The reasoning is given below.

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram ABCD.

This means,

AD is parallel to BC

AB is parallel to CD

∠A = ∠C

BD is the diagonal of the parallelogram.

Now,

ΔADB and ΔCBD

AB = CD ( given )

∠A = ∠C (given )

∠ADB = ∠CBD ( given )

∠ABD = ∠BDC ( alternate angles )

ΔADB ≈ ΔCBD

Thus,

ΔADB is congruent to ΔCBD.

Learn more about parallelograms here:

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Answers

Answer:

The slope is 1/2

Step-by-step explanation:

AS seen in the graph I provided you can see that the points are increasing by 1/2

is the following graph a function?

A. yes
B. no​

Answers

Answer:

Yes

Step-by-step explanation:

You can use the Vertical line test to figure this out, and sure enough none of the points touch the vertical line.

The answer for this question is yes

Select the correct answer.

Answers

Answer:

D. [tex]3\sqrt{22b}[/tex]

I hope this helps!

Arectangle's length is 3 feet longer than its width. The perimeter is 50 feet. In feet, what is the length of the rectangle?​

Answers

Answer:

14 ft

Step-by-step explanation:

50= 2x + 2(x+3)

50= 2x+2x+6

50=4x+6

-6 -6

44=4x

4 4

x=11 (width) +3 =14(length)

11+11=22 14+14=28 22+28=50

um help again. i’m terrible with math so an answer would really help thxs :)

Answers

Answer:

20

Step-by-step explanation:

skip count by 2

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

The slope is -4/3.........

please help. if right i will give brainliest

Answers

Answer:

m∠7 is equal to 112

Step-by-step explanation:

m∠7 is equal to 112 because m∠2 and m∠7 literally are the same angle

trust me

High Hopes^^

Barry-

Answer:

∠ 7 = 112°

Step-by-step explanation:

∠ 2 and ∠ 6 are corresponding angles and congruent, that is

∠ 6 = 112°

∠ 7 and ∠ 6 are vertical angles and congruent, thus

∠ 7 = 112°

GEOMOTRY PLS HELP i got little time left

Answers

Answer:

Hope this solution helps you

15 Points Pls Help

The police have determined that a car going 60 mules per hour will skid 155 feet on a dry road and a car going 73 mph will skid 195 feet. Using this information, how far would we expect a car going 50 miles per hour to skid on the dry road?

A. 124 ft
B. 135 ft
C. 142 ft
D. 145 ft​

Answers

It’s A!!!!!!!!!!!!!!

A tree initially measured 38 1/2 feet tall. Over the next 5 1/2 years, it grew to a final height of 49 1/2 feet. During those 512 years, what was the average yearly growth rate of the height of the tree? (I NEED THE ANSWER ASAP IF YOU CANT ANSWER IT its fine:)

Answers

Answer:

2 feet per year

Step-by-step explanation:

i drew tge question because im not doing it ion my home laptop

Answers

Answer:

Correct Choice: G. point B

Step-by-step explanation:

The Number Line

A number line is defined as a graphic representation of numbers such as fractions, integers, and whole numbers laid out evenly on a straight horizontal line.

The number line can be used for comparing and ordering numbers and also performing simple operations such as addition and subtraction.

There are four numbers located on a number line. Let's analyze each one:

A: -27/3. This division is a whole number =.9 and is correctly placed.

B: -13/2 = -6.5. Note this value was incorrectly placed at -4.5.

C: 9/2= 4.5. The number is correctly placed

D: 21/3 = 7. This number is also placed in the correct location

Correct Choice: G. point B

A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.

Answers

22.3694

Step-by-step explanation:

each mps is 2.23694 x 10 = 22.3694

This is due today and I need some help please

Answers

answer: d

explanation: it is multiplied by 10^-4, so move the decimal 4 places to the left

tips: negative=move to the left
and positive= move to the right

Answer:

3.652 x 10^-4 = 0.0003652 (B)

Step-by-step explanation:

Since the exponent of the scientific notation is negative, move the decimal point 4 places to the left.

Hope this helps.

Simplify the following expression. 7^-5/6*7^-7/6

Answers

Answer:2.0068782e-12

Step-by-step explanation:

Name a fourth point in plane TUW.

Answers

Answer:

Y

Step-by-step explanation:

i think its Y

If 4 tomatoes are needed to make 7 cups of salsa, exactly how many cups of salsa can be made with 18 tomatoes.

Answers

Answer:

31.5 cups of salsa can be made

Step-by-step explanation:

4 x 4.5 =18

7 x4.5=31.5

It will be 31.5 cups

Ashley is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $77 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.80 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

Anything above 15 miles, so x>15

Step-by-step explanation:

When you solve this by using an equation, you would get 77=65+0.80m (0.80 m because slope is 0.80 and m is mileage you multiply by). You would subtract 64 from both sides, so 12=0.80m and then you divide 0.80 by 12 to get m by itself to get 15. 15 miles is when both companies cost the same, so anything above 15.

18 > 5k + k

A. K> 3
B. K >-6
C. K > - 1
D. K<3​

Answers

Answer: k < 3

......................

The boss gives all his employess a 7% pay rise Paul used to earn $8 hour how much does he get after a rise?

Answers

Answer:

1.07*8

Step-by-step explanation:

8.56

How do you solve 2(x-6)=x-14

Answers

2(x-6)=x-14
2x-12=x-14
2x -x=-14+12
x= -14+12
x=-2

Answer:

x = -2

Step-by-step explanation:

[2(x-6) = x - 14]

Multiply 2 by x and (-6) in parenthesis, distribution

[2x -12 = x - 14]

Add 12 to both sides

[2x = x - 2]

Subtract x from both sides

[x = -2]

Find three angles coterminal to an angle of 1 radian

Answers

Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?

Step-by-step explanation:

Kyle has $200 to spend on a camera and a camera case. If he wants to spend three times as much on his camera as on the case, what is the most he should spend on the camera case?

Answers

Answer:

$50

Step-by-step explanation:

I took $200 divided by 4 (he wants to spend 3 times as much) so he would spend $50 on case and $150 on camera

Find area
of a
Sector of angle P (in degrees) of
a circle
with radius R ?​

Answers

Answer:

You have to find out how much of the circle the sector is

Step-by-step explanation:

[tex]\frac{\pi R^{2}}{\frac{P}{360}}[/tex]

What is the formula of the compound formed from Cobalt(lll) and lodine?

Answers

Answer:

Cobalt (III) iodide CoI₃

Step-by-step explanation:

The name of the compound formed between Cobalt(III) and Iodine is known as Cobalt (III) Iodide.

The Iodide ion gains three electrons from the cobaltThey both an electrovalent compound when they react.This compound is soluble in water due to the ionic bonds. Cobalt is a transition metal found in the d- blockIodide is a halogen that belongs to group 7.

Rectangle ABCD is reflected across the y-axis, rotated 90° clockwise,
and translated along the vector (6,2). Draw the new figure after all
those transformations.

Answers

Answer:

The right answer for the question that is being asked and shown above is that: "B. Rectangle ABCD was rotated 90°counterclockwise around the origin and then reflected across the x-axis." This is the sequence of transformations could have been used to transform rectangle ABCD to produce rectangle

Step-by-step explanation:

Tim's mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of gasoline .what is the constant of proportionality that relates the cost in dollars ,y, to the number of gallons of gas,x

A.$0.31 per gallon

B.$3.13 per gallon

C.$3.20 per gallon

D.$0.32 per gallon

Answers

Answer:

itś c

Step-by-step explanation: because you divide 72.00/22.5= 3.2

-3 * f(-8) + 7 * g(2)

Answers

Answer:

-2(-12-7 g)

Step-by-step explanation:

hope this helps :)

in 4 days a student studied 60 minutes which equation shows this relationship

Answers

Answer would be 4x=60

Answer:

4d = 60

Step-by-step explanation:

Let d represent the number of days.

4d = 60

How Do I Solve This Equation 5x+7=3x-5 (2024)
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