Answer
$x=-3$.
Work Step by Step
The given equation is
$\Rightarrow \frac{2}{3}(3x+9)=-2(2x+6)$
Use distributive property.
$\Rightarrow 2x+6=-4x-12$
Add $4x-6$ to both sides.
$\Rightarrow 2x+6+4x-6=-4x-12+4x-6$
Simplify.
$\Rightarrow 6x=-18$
Divide both sides by $6$.
$\Rightarrow \frac{6x}{6}=\frac{-18}{6}$
Simplify.
$\Rightarrow x=-3$
Check:-
$\Rightarrow \frac{2}{3}(3(-3)+9)=-2(2(-3)+6)$
$\Rightarrow \frac{2}{3}(-9+9)=-2(-6+6)$
$\Rightarrow \frac{2}{3}(0)=-2(0)$
$\Rightarrow 0=0$
True.
Hence, the solution is $x=-3$.
