\(-108+2\left|x-11\right|=-80\)
\(\Rightarrow2\left|x-11\right|=-80+108\)
\(\Rightarrow2\left|x-11\right|=28\)
\(\Rightarrow\left|x-11\right|=28:2\)
\(\Rightarrow\left|x-11\right|=14\)
\(\Rightarrow\orbr{\begin{cases}x-11=14\\x-11=-14\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=14+11\\x=-14+11\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=25\\x=-3\end{cases}}\)
Vậy \(x\in\left\{25;-3\right\}\)
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