\(2x-\frac{3}{5x}=\frac{21}{25}\)
\(\Rightarrow\frac{x}{2}-\frac{5x}{3}=\frac{25}{21}\)
\(\Leftrightarrow\frac{21x}{42}-\frac{70x}{42}=\frac{50}{42}\)
\(\Rightarrow21x-70x=50\)
\(\left(21-70\right)x=50\)
\(\Leftrightarrow-49x=50\)
\(\Leftrightarrow x=-\frac{49}{50}\)