\(\dfrac{1}{2}.x+\dfrac{3}{5}.\left(x-2\right)=3\)
\(\dfrac{1}{2}.x+\dfrac{3}{5}.x-\dfrac{3}{5}.2=3\)
\(x.\left(\dfrac{1}{2}+\dfrac{3}{5}\right)-\dfrac{6}{5}=3\)
\(x.\dfrac{11}{10}-\dfrac{6}{5}=3\)
\(x.\dfrac{11}{10}=3+\dfrac{6}{5}\)
\(x.\dfrac{11}{10}=\dfrac{21}{5}\)
\(x=\dfrac{21}{5}:\dfrac{11}{10}\)
\(x=\dfrac{42}{11}\)
