\(\frac{3}{4}x-\frac{5}{7}=\frac{3}{5}x+\frac{1}{2}\)
\(\Leftrightarrow\frac{3}{4}x-\frac{3}{5}x=\frac{1}{2}+\frac{5}{7}\)
\(\Leftrightarrow x.\left(\frac{3}{4}-\frac{3}{5}\right)=\frac{17}{14}\)
\(\Leftrightarrow x.\frac{3}{20}=\frac{17}{14}\)
\(\Leftrightarrow x=\frac{170}{21}\)