Ta có: \(\left|x-6\right|=\left|4x-5\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}x-6=4x-5\\x-6=5-4x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-4x=-5+6\\x+4x=5+6\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-3x=1\\5x=11\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{3}\\x=\dfrac{11}{5}\end{matrix}\right.\)