$$ \begin{aligned} 3 \cdot \frac{x}{4}-\frac{x}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot3 \cdot \frac{x}{4}-4\frac{x}{2} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]3x-2x &= 0&& \text{simplify left side} \\[1 em]x &= 0&& \text{ divide both sides by $ 1 $ } \\[1 em]x &= \frac{0}{1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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