Question

PLEASE HELP 20 POINTS




.5(4x - 2) - 2(3x + 3) = 9 + 2(x+ 4)

Answer 1

`x = -4`

Explanation:

To solve this equation, we need to apply the distributive property, combine like terms, and get x on one side of the equation.

First, let's apply the distributive property to all parts of the equation:

`0.5(4x-2) - 2(3x+3) = 9+2x + 8`

`2x - 1 - 6x - 6 = 9 + 2x + 8`

Combine like terms:

`-4x - 7 = 2x + 17`

Add 4x to both sides:

`-7 = 6x + 17`

Add -7 to both sides:

`0 = 6x + 24`

Subtract 24 from both sides:

`6x = -24`

Divide both sides by 6:

`x = -4`

Hope this helped!