Answer
$x=5$ or $x=-1$
Work Step by Step
Take the square root of both sides
\begin{align*}
\sqrt{(x-2)^2}&=\pm \sqrt{9}\\
x-2&=\pm 3\\
x&=2 \pm 3
\end{align*}
Hence,
$x=2+3=5$ or $x=2-3=-1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.