Question

What is the value of x is the solution to the equation -8(x + 3) = -10x - 5?

Answer 1

x = 19/2

Explanation:

1) Distribute

-8x-24=-10x-5

2) Add 24 to both sides

-8x-24+24=-10x-5+24

3) Simplify

- Add the numbers

-8x = -10x - 5 + 24

- Add the numbers

-8x = -10x+19

4) Add 10x to both sides

-8x+10x=-10x+19+10x

5) Simplify

- Combine like terms

2x = -10x+19+10x

-Combine like terms

2x=19

6) Divide both sides by the same factor

2x/2 = 19/2

7) Simplify

- Cancel terms that are in both the numerator and denominator

x = 19/2