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

Respuesta :

Answer: x = 1

Step-by-step 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)

Answer:

[tex]x = 1[/tex]

Step-by-step 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: [tex]5(2x-8)[/tex]

Using distributive property (which is [tex]a(b+c) = ab+ac[/tex]), you get:

[tex]5(2x-8) = 5(2x) - 5(8) = 10x - 40[/tex]

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

[tex]10x-40+15=-15[/tex]

Combine the -40 and 15 ([tex]-40+15=-25[/tex])

Then, you will get: ([tex]10x-25=-15[/tex])

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

[tex]10x = -15+25[/tex], and then -15+25 is 10, so

[tex]10x = 10[/tex]

4) Divide by 10 on both sides, and get [tex]x = 1[/tex]

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