Question

please help

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step.

Answer 1

5(2x-8)+15=-15

One solution was found :

x = 1
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5*(2*x-8)+15-(-15)=0

Step by step solution :




Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

2x - 8 = 2 • (x - 4)

Equation at the end of step 2 :

(10 • (x - 4) + 15) - -15 = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

10x - 10 = 10 • (x - 1)

Equation at the end of step 4 :

10 • (x - 1) = 0
Step 5 :

Equations which are never true :

5.1 Solve : 10 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2 Solve : x-1 = 0

Add 1 to both sides of the equation :
x = 1

One solution was found :

x = 1

Processing ends successfull

Answer 2

5(2x + -8) + 15 = -15

5(-8 + 2x) + 15 = -15
(-8 * 5 + 2x * 5) + 15 = -15
(-40 + 10x) + 15=-15

Reorder the terms:
-40 + 15 + 10x = -15

Combine like terms: -40 + 15 = -25
-25 + 10x = -15

-25 + 10x = -15

Solve for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 10x = -15 + 25

Combine like terms: -25 + 25 = 0
0 + 10x = -15 + 25
10x = -15 + 25

Combine like terms: -15 + 25 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplify
x = 1

Answer 3

thank's for the help

Answer 4

NP