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

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