\(86:\left[2\left(2x-1\right)^2-7\right]+4^2=2.3^2\)
\(\Rightarrow86:\left[2\left(2x-1\right)^2-7\right]=18-16=2\)
\(2\left(2x-1\right)^2-7=86:2=43\)
\(\Rightarrow\left(2x-1\right)^2=25\)
\(\Rightarrow\orbr{\begin{cases}2x-1=5\Leftrightarrow x=3\\2x-1=-5\Leftrightarrow x=-2\end{cases}}\)