$$ \begin{aligned} \frac{4}{2}x-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{4}{2}x-2\cdot1 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]4x-2 &= 0&& \text{ move the constants to the right } \\[1 em]4x &= 2&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{2}{4}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$

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