Answer
x=3
Work Step by Step
The distributive property allows us to distribute anything multiplied by something inside of the parenthesis to whatever is inside of the parenthesis. Thus, we distribute the -2 to everything inside of the first set of parenthesis, the 3 to everything inside of the second set of parenthesis, and the -3 to everything in the third set of parenthesis, giving us the equation -2x-12+9x-6=-3x+12. We now simplify:
$7x-18=-3x+12 \\\\ 10x-18=12 \\\\ 10x=30 \\\\ x=3$
