\(\frac{1}{2}\times x+\frac{3}{5}\times\left(x-2\right)=3\)
\(\frac{1}{2}\times x+\frac{3}{5}\times x-\frac{6}{5}=3\)
\(\frac{11}{10}x=3+\frac{6}{5}\)
\(\frac{11}{10}x=\frac{21}{5}\)
\(x=\frac{21}{5}\div\frac{11}{10}\)
\(x=\frac{21}{5}\times\frac{10}{11}\)
\(x=\frac{42}{11}\)