$$ \begin{aligned} 3(\frac{3}{4}-2x) &= 12&& \text{simplify left side} \\[1 em]3 \cdot \frac{-8x+3}{4} &= 12&& \\[1 em]\frac{-24x+9}{4} &= 12&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{-24x+9}{4} &= 4\cdot12&& \text{cancel out the denominators} \\[1 em]-24x+9 &= 48&& \text{ move 9 to the right } \\[1 em]-24x &= 48-9&& \\[1 em]-24x &= 39&& \text{ divide both sides by $ -24 $ } \\[1 em]x &= -\frac{39}{24}&& \\[1 em]x &= -\frac{13}{8}&& \\[1 em] \end{aligned} $$

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