$$ \begin{aligned} \frac{4-x}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{4-x}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]4-x &= 0&& \text{ move the constants to the right } \\[1 em]-x &= -4&& \text{switch signs on both sides} \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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