Question

2/3(3x+9)=-2(2x+6)


Solve for x

Answer 1

Greetings!

Solve for x.

`2/3(3x+9)=-2(2x+6)`
Distribute the Parenthesis.

`2/3*3/1x+2/3*9/1=-2*2x-2*6`
Simplify.

`6/3x+18/3=-4x-12`
Reduce.

`2x+6=-4x-12`
Add 12 to both sides.

`(2x+6)+12=(-4x-12)+12`
Simplify.

`2x+18=-4x`
Subtract both sides by 2x.

`(2x+18)-2x=(-4x)-2x`
Simplify.

`18=-6x`
Divide both sides by -6.

`(18)/-6=(-6x)/-6`
Simplify.

`-3=x`

`x=-3`

Hope this helps.
-Benjamin