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