Answer
$x=-3$ and $x=9$
Work Step by Step
We are given that $|x-3|=6$. Therefore, $x-3=6$ and $x-3=-6$. We can solve each equation to find solutions for x.
For $x-3=6$, add 3 to both sides.
$x=9$
For $x-3=-6$, add 3 to both sides.
$x=-3$