$$ \begin{aligned} \frac{1}{2} &= \frac{3}{4}x&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{1}{2} &= 4 \cdot \frac{3}{4}x&& \text{cancel out the denominators} \\[1 em]2 &= 3x&& \text{ swap the left and right side of the equation } \\[1 em]3x &= 2&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{2}{3}&& \\[1 em] \end{aligned} $$

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