Question

What should be the first step to solve the equation?

2x + 9(x - 1) = 8(2x + 2) - 5
O Combine like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.

Answer 1

B

Explanation:

Answer 2

Your answer would be to Use the distributive property on each side of the equation.

Explanation:

You would first expand the equation by using the distributive property on each side of the equation

`2x + 9(x - 1) = 8(2x + 2) - 5\\2x + 9(x) 9(-1) = 8(2x) 8(2) - 5\\2x + 9x-9 = 16x+16 - 5`

Then you would combine like terms on both sides

`2x+9x-9=11x-9\\16x+16-5=16x+11`

Now you solve for x

`11x-9=16x+11`

You subtract 11x from both sides

`11x-9=16x+11\\-11x=-11x`

Then you subtract 11 from both sides

`-9=5x+11\\-11=-11`

Then you divide 5 on both sides

`-20=5x`

`(-20)/(5) =(5x)/(5)`

`x=-4`