\(\dfrac{4}{2x-3}-\dfrac{7}{3x-5}=0\)
\(\Leftrightarrow\dfrac{4\left(3x-5\right)}{\left(2x-3\right)\left(3x-5\right)}-\dfrac{7\left(2x-3\right)}{\left(2x-3\right)\left(3x-5\right)}=0\)
\(\Leftrightarrow4\left(3x-5\right)-7\left(2x-3\right)=0\)
\(\Leftrightarrow12x-20-14x+21=0\)
\(\Leftrightarrow-2x+1=0\)
\(\Leftrightarrow-2x=-1\)
\(\Leftrightarrow x=\dfrac{1}{2}\)