\(\left|16-x\right|-2x+8=-6\)
\(\left|16-x\right|=2x-14\left(x\ge7\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}16-x=2x-14\\16-x=14-2x\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=14\left(N\right)\\x=-2\left(L\right)\end{matrix}\right.\)
\(S=\left\{14\right\}\)