\(\left(2x-1\right)^2-\left(2-x\right)\left(2x-1\right)=0\\ \left(2x-1\right)\left(2x-1-2+x\right)=0\\ \left(2x-1\right)\left(3x-3\right)=0\\ \left[{}\begin{matrix}2x-1=0\\3x-3=0\end{matrix}\right.\\ \left[{}\begin{matrix}x=\frac{1}{2}\\x=1\end{matrix}\right.\)