`2:x-1/3=2/5`
`2:x=2/5+1/3`
`2:x=11/15`
`x=2:11/15`
`x=30/11`
\(2:x-\dfrac{1}{3}=\dfrac{2}{5}\)
\(2:x=\dfrac{2}{5}+\dfrac{1}{3}\)
\(2:x=\dfrac{6}{15}+\dfrac{5}{15}\)
\(2:x=\dfrac{11}{15}\)
\(x=2:\dfrac{11}{15}\)
\(x=2\times\dfrac{15}{11}\)
\(x=\dfrac{30}{11}\)