$$ \begin{aligned} 3x-\frac{x}{2} &= 60&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3x-2 \cdot \frac{x}{2} &= 2\cdot60&& \text{cancel out the denominators} \\[1 em]6x-x &= 120&& \text{simplify left side} \\[1 em]5x &= 120&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{120}{5}&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$

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