Answer
$x= 7$
Work Step by Step
A plot of the two function is shown in the figure. We see that the point of intersection between the graphs of the function is at $(x,y) = (7,4)$. This means that the solution is $x= 7$. Let's check.
\begin{equation}
\begin{aligned}
\sqrt{2 \cdot 7+2}& \stackrel{?}{=}\sqrt{3 \cdot 7-5} \\
\sqrt{14+2}& \stackrel{?}{=}\sqrt{21-5} \\
\sqrt{16}& \stackrel{?}{=}\sqrt{16} \\
4&= 4\checkmark
\end{aligned}
\end{equation}
