TeX source:

\begin{aligned} \sqrt{2 x+3}+\sqrt{x-2} &=4 \\ \sqrt{2 x+3} &=4-\sqrt{x-2} \\ \sqrt{2(83)+3} &=4-\sqrt{(83-2)} \\ \sqrt{169} &=4-\sqrt{81} \\ 13 & \neq-5 \end{aligned}