Answer
The solution set is $\left\{ -2,5 \right\}$
Work Step by Step
$\begin{align}
& \left| x \right|=\pm x \\
& 2x-3=7 \\
& 2x=10 \\
& x=5
\end{align}$
Now,
$\begin{align}
& 2x-3=-7 \\
& 2x=-4 \\
& x=-2
\end{align}$
Thus, the solution is $\left\{ -2,5 \right\}$
