Answer
$x= -5$ and $x=5$
Work Step by Step
We are given that $|x|=5$.
The solution set will be all values of x that have an absolute value of 5 (or all values of x that are exactly 5 units away from 0 on the number line).
-5 and 5 are both 5 units from 0 on the number line, so $x= -5$ and $x=5$.
$|-5|=5$ and $|5|=5$