\(\displaystyle{3}\frac{{x}}{{5}}-{x}=\frac{{x}}{{10}}-\frac{{5}}{{2}}\)

\(\displaystyle{3}{x}\frac{{{2}}}{{5}}{\left({2}\right)}-{x}\frac{{{10}}}{{1}}{\left({10}\right)}=\frac{{x}}{{10}}-{5}\frac{{{5}}}{{2}}{\left({5}\right)}\)

\(6x-10x=x-25\)

\(-4x=x-25\)

\(-5x=-25\)

\(x=5\)