Answer
Solutions:
$x=15$ and $x=-5$
Work Step by Step
$|x-5|=10$
1) The value inside the bars is positive:
$x-5=10$
$x=15$
2) The value inside the bars is negative:
$-(x-5)=10$
$x-5=-10$
$x=-5$
Testing:
- $x=15$:
$|15-5|=|10|=10$
- $x=-5$:
$|-5-5|=|-10|=10$