\(\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\)
\(\dfrac{2}{3}x-\dfrac{1}{2}x=-\dfrac{1}{3}+\dfrac{2}{5}\)
\(\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x=\dfrac{1}{15}\)
\(\dfrac{1}{6}x=\dfrac{1}{15}\)
\(x=\dfrac{1}{15}:\dfrac{1}{6}\)
\(x=\dfrac{2}{5}\)