$$ \begin{aligned} \frac{x}{5}-\frac{1}{2} &= 3&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{x}{5}-10\cdot\frac{1}{2} &= 10\cdot3&& \text{cancel out the denominators} \\[1 em]2x-5 &= 30&& \text{ move -5 to the right } \\[1 em]2x &= 30+5&& \\[1 em]2x &= 35&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{35}{2}&& \\[1 em] \end{aligned} $$

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