\(\star \ 35- \dfrac{x}{5} = \dfrac{x}{2}\)
\(\star \ 350-2x=5x\) \(|| \ Multiply \ both \ sides \ by \ 10 \ ||\)
\(\star \ 350=5x+2x\) \(|| \ Add \ 2x \ to \ each \ side \ ||\)
\(\star \ 350=7x\) \(|| \ Combine \ like \ terms \ ||\)
\(\star \ 350/7=7x/7\) \(|| \ Divide \ each \ side \ by \ 7 \ ||\)
\(\star \ x=50\)