$$ \begin{aligned} \frac{3}{4}(x-2) &= 12&& \text{simplify left side} \\[1 em]\frac{3x-6}{4} &= 12&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3x-6}{4} &= 4\cdot12&& \text{cancel out the denominators} \\[1 em]3x-6 &= 48&& \text{ move -6 to the right } \\[1 em]3x &= 48+6&& \\[1 em]3x &= 54&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{54}{3}&& \\[1 em]x &= 18&& \\[1 em] \end{aligned} $$

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