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