Question

An equation is shown below:

5 ( 2x - 8 ) + 15 = -15
write the steps you'll use to solve the equation and explain each step.​

Answer 1

`x = 1`

Explanation:

Skills needed: One-Variable Equations, Solving Equations

1) The first thing is to use P.E.M.D.A.S

There are no Parentheses, or Exponents, so we go to multiplication

The quantity we multiply is:
`5(2x-8)`

Using distributive property (which is
`a(b+c) = ab+ac`), you get:

`5(2x-8) = 5(2x) - 5(8) = 10x - 40`

2) Now, we substitute back in and combine like terms:

`10x-40+15=-15`

Combine the -40 and 15 (
`-40+15=-25`)

Then, you will get: (
`10x-25=-15`)

3) Add 25 to both sides, to isolate the variable:

`10x = -15+25`, and then -15+25 is 10, so

`10x = 10`

4) Divide by 10 on both sides, and get
`x = 1`

Hope this helps and have a nice day!! :) :]

Answer 2

Answer: x = 1

Explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)