Ta có :
\(\left|2x-1\right|=\left|2x+3\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=2x+3\\2x-1=-2x-3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-2x=3+1\\2x+2x=-3+1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}0=4\left(loại\right)\\4x=-2\end{matrix}\right.\)
\(\Leftrightarrow x=\dfrac{-1}{2}\)
Vậy ...
\(\left|2x-1\right|=\left|2x+3\right|\)
\(\Rightarrow\left|2x-1\right|=2x+3\)
\(\Rightarrow2x-1=2x+3\) hoặc \(2x-1=-\left(2x+3\right)\)
\(\Rightarrow2x-2x=3+1\) hoặc \(2x-1=-2x-3\)
\(\Rightarrow0=4\) ( loại ) hoặc \(2x+2x=-3+1\)
\(\Rightarrow4x=-2\)
\(\Rightarrow x=\dfrac{-1}{2}\)