Answer
$\dfrac{7}{3}$
Work Step by Step
Divide $3$ on both sides:
\begin{align*}
\frac{3(h+5)}{3}&=\frac{22}{3}\\\\\
h+5&=\frac{22}{3}\\\\
h&=-5+\frac{22}{3}\\\\
h&=\frac{-15}{3}+\frac{22}{3}\\\\
h&=\frac{7}{3}
\end{align*}
Checking:
\begin{align*}
3\left(\frac{7}{3}+5\right)&=22\\
7+15&=22\\
22&\stackrel{\checkmark}=22
\end{align*}
Thus, the solution is $\dfrac{7}{3}$.