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

\(\displaystyle{x}\frac{{{2}}}{{3}}{\left({2}\right)}={x}\frac{{{3}}}{{2}}{\left({3}\right)}-\frac{{12}}{{6}}\)

\(\displaystyle{2}\frac{{x}}{{6}}={3}\frac{{x}}{{6}}-\frac{{12}}{{6}}\)

\(2x=3x-12\)

\(-x=-12\)

\(x=12\)