\(\left(2m-1\right)x-4m+3=0\)
Thay \(x=\dfrac{1}{2}\) vào pt trên :
\(\left(2m-1\right).\dfrac{1}{2}-4m+3=0\)
\(\Leftrightarrow m-\dfrac{1}{2}-4m+3=0\)
\(\Leftrightarrow-3m+\dfrac{5}{2}=0\)
\(\Leftrightarrow-3m=-\dfrac{5}{2}\)
\(\Leftrightarrow m=\dfrac{5}{6}\)
Vậy \(m=\dfrac{5}{6}\)