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