Ta có:
\(\left|x-1\right|=\left|3x-5\right|\)
=> \(\left[{}\begin{matrix}x-1=3x-5\\1-x=3x-5\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x-3x=1-5\\x+3x=1+5\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}-2x=-4\\4x=6\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=2\\x=\dfrac{3}{2}\end{matrix}\right.\)
\(\left|x-1\right|=\left|3x-5\right|\)
\(\Rightarrow\left|1-x\right|=\left|3x-5\right|\)
\(\Rightarrow\left[{}\begin{matrix}1-x=3x-5\\1-x=-\left(3x-5\right)\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-x-3x=-5-1\\1-x=-3x+5\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-4x=-6\\-x+3x=5-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\2x=4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\left(T/m\right)\\x=2\left(T/m\right)\end{matrix}\right.\)