Answer
{$-12$}
Work Step by Step
$\frac{-4}{x+4}=\frac{-3}{x+6}$ Where $x\ne-4, x\ne-6$
$-4(x+6)=-3(x+4)$ Use cross multiplication.
$-4x-24=-3x-12$ Distribute.
$-4x-24+24=-3x-12+24$ Add 24 to both sides.
$-4x=-3x+12$
$-4x+3x=-3x+3x+12$ Add 3x to both sides.
$-x=12$
$\frac{-x}{-1}=\frac{12}{-1}$
$x=-12$
The solution is {-12}