Answer
The solution set is {$x|-4\lt{x}\lt4$}
Work Step by Step
$|2x|\lt8$
$-8\lt2x\lt8$ Divide each term by 2
$\frac{-8}{2}\lt\frac{2x}{2}\lt\frac{8}{2}$
$-4\lt{x}\lt4$
The solution set is {$x|-4\lt{x}\lt4$}
Interval notation: $(-4,4)$