[tex]\bf \sqrt{5x+19}-4=3x-15
\\\\
\sqrt{5x+19}=3x-15+4\\\\ \sqrt{5x+19}=3x-11\leftarrow \textit{square both sides}
\\\\
(\sqrt{5x+19})^2=(3x-11)^2
\\\\
5x+19=(3x-11)^2\qquad
\begin{cases}
(3x-11)^2\to (3x-11)(3x-11)\\
--------------\\
\textit{or use FOIL to expand it}
\end{cases}[/tex]
then solve for "x"