Answer
$x=-6$
Work Step by Step
We start with the given equation: $6=-3(x+4)$
We use the distributive property to expand the right side of the equation: $6=-3x-12$
We add $12$ to both sides of the equation: $18=-3x$
We divide by $-3$ on both sides of the equation: $x=\frac{18}{-3}=-6$