\(\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\)
\(\dfrac{2x}{3}-\dfrac{2}{5}=\dfrac{x}{2}-\dfrac{1}{3}\)
\(\dfrac{10x-6}{15}=\dfrac{3x-2}{6}\)
⇔\(6\left(10x-6\right)=15\left(3x-2\right)\)
⇔\(60x-36=45x-30\)
⇔\(60x-36-45x+30=0\)
⇔\(15x-6=0\)
⇔\(15x=6\)
⇔\(x=\dfrac{6}{15}\)