$$ \begin{aligned} \frac{5+7}{x} &= 24&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{5+7}{x} &= x\cdot24&& \text{cancel out the denominators} \\[1 em]12 &= 24x&& \text{ swap the left and right side of the equation } \\[1 em]24x &= 12&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{12}{24}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$

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