\(\left|7-8x\right|=6-2x\)
\(\Rightarrow\left[{}\begin{matrix}7-8x=6-2x\\7-8x=-6+2x\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-8x+2x=6-7=-1\\-8x-2x=-6-7=-13\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-6x=-1\\-10x=-13\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\frac{-1}{-6}=\frac{1}{6}\\x=\frac{-13}{-10}=\frac{13}{10}\end{matrix}\right.\)