Answer
$\{-4,4\}$
Work Step by Step
Recall that $|a|=b \implies a=b$ or $a=-b$.
Thus, using the rule above yields:
$-2x=8\quad$ or $\quad-2x=-8$
Divide both sides of both equations by $-2$.
$\dfrac{-2x}{-2}=\dfrac{8}{-2}\quad $ or $\quad\dfrac{-2x}{-2}=\dfrac{-8}{-2}$
Simplify.
$x=-4\quad$ or $\quad x=4$
Hence, the solution set of the given equation is $\{-4,4\}$.
