|x-1|=|3-2.x|
\(< =>\left[{}\begin{matrix}x-1=3-2.x\\x-1=-3-2.x\end{matrix}\right.< =>\left[{}\begin{matrix}2.x-x=3-1\\2.x+x=3+1\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\3.x=4\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\x=\dfrac{4}{3}\end{matrix}\right.\)
|x-3|=|5-2.x|
\(\left[{}\begin{matrix}x-3=5-2.x\\x-3=-5-2.x\end{matrix}\right.< =>\left[{}\begin{matrix}2.x-x=5-3\\2.x+x=5+3\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\3.x=8\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\x=\dfrac{8}{3}\end{matrix}\right.\)