\(a,2016-\left|-16\right|=50-2x\)
\(2016-16=50-2x\)
\(2x=50-2016+16\)
\(2x=-1950\)
\(x=-975\)
Vậy \(x=-975\)
\(b,27-\left|32-x\right|=-\left(-5\right)\)
\(27-\left|32-x\right|=5\)
\(\left|32-x\right|=27-5\)
\(\left|32-x\right|=22\)
\(\Leftrightarrow\)\(\left[\begin{matrix}32-x=22\\32-x=-22\end{matrix}\right.\) \(\Leftrightarrow\) \(\left[\begin{matrix}x=10\\n=54\end{matrix}\right.\)
Vậy \(x\in\left\{10;54\right\}\)
\(c,-\left(83-115\right)-x=90\)
\(-\left(-32\right)-x=90\)
\(32-x=90\)
\(x=32-90\)
\(x=-58\)
Vậy \(x=-58\)