$$ \begin{aligned} \frac{2}{3}\cdot(3-2x) &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{2}{3}\cdot(3-2x) &= 12\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]-16x+24 &= 9&& \text{ move 24 to the right } \\[1 em]-16x &= 9-24&& \\[1 em]-16x &= -15&& \text{ divide both sides by $ -16 $ } \\[1 em]x &= \frac{-15}{-16}&& \\[1 em]x &= \frac{15}{16}&& \\[1 em] \end{aligned} $$

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