\(\left(2x-1\right)^3=\left(2x-1\right)^5\\ \Rightarrow\left(2x-1\right)^5-\left(2x-1\right)^3=0\\ \Rightarrow\left(2x-1\right)^3\left[\left(2x-1\right)^2-1\right]=0\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\\left[{}\begin{matrix}x=1\\x=0\end{matrix}\right.\end{matrix}\right.\)