Answer
{$-6$}
Work Step by Step
$\frac{x}{x+2}=\frac{3}{2}$ Where $x\ne-2$
$2x=3(x+2)$ Use cross multiplication.
$2x=3x+6$
$2x-3x=3x-3x+6$ Subtract 3x from both sides.
$-x=6$
$\frac{-x}{-1}=\frac{6}{-1}$ Divide both sides by -1.
$x=-6$
The solution is {$-6$}.