Answer
$-1$
Work Step by Step
Isolate the radical:
\begin{align*}
\sqrt{x+5}&=4-2\\
\sqrt{x+5}&=2\\
\end{align*}
Square both sides:
\begin{align*}
(\sqrt{x+5}^2)&=2^2\\
x+5&=4
\end{align*}
Solve for $x$:
\begin{align*}
x&=4-5\\
x&=-1
\end{align*}
