\(\left(3x-2,5\right)^2=16\)
\(\Leftrightarrow\left(3x-2,5\right)^2=4^2\)
\(\Leftrightarrow\left|3x-2,5\right|=4\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-2,5=4\\3x-2,5=-4\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{13}{6}\\x=-\dfrac{1}{2}\end{matrix}\right.\)