\(=>\left|x-1\right|=-\left|x-2\right|\)
\(=>\left[{}\begin{matrix}x-1=-x+2\\x-1=-2+x\end{matrix}\right.=>\left[{}\begin{matrix}x-1+x-2=0\\x-1+2-x=0\end{matrix}\right.\)
\(=>\left[{}\begin{matrix}2x-3=0\\\left(x-x\right)+\left(-1+2\right)=0\end{matrix}\right.\)
\(=>\left[{}\begin{matrix}x=\dfrac{3}{2}\\1=0\left(vl\right)\end{matrix}\right.\)
vậy x=3/2