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