$$ \begin{aligned} \frac{3}{4}(8x-24) &= 0&& \text{simplify left side} \\[1 em]\frac{24x-72}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{24x-72}{4} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]24x-72 &= 0&& \text{ move the constants to the right } \\[1 em]24x &= 72&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{72}{24}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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