#### Answer

The solution is {4,-4}.

#### Work Step by Step

In order to solve $5|x|-12=8$, according to the absolute value property, we can solve the equation by removing the bars. Then use the postive and negative of the answer, since we need to plug the solution back into the bars.
$5x-12=8$
$5x=8+12$
$5x=20$
$x=20/5$
$x=4$
So, since we need to use the positive and negative to find the solution, the solution is {4,-4}.