#### Answer

$x = -4$ or $4$

#### Work Step by Step

$|-6x| = 24$
There are two cases:
Case 1: $-6x = 24$
or
Case 2: $-6x = -24$
In Case 1, $x = \frac{24}{-6}$, so $x = -4$
In Case 2, $x = \frac{-24}{-6}$, so $x = 4$
If we substitute both $-4$ and $4$ in for $x$, we can see that the equation is satisfied.
So, $x = 4, -4$