$$ \begin{aligned} \frac{x}{12}+\frac{1}{2} &= \frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{x}{12}+12\cdot\frac{1}{2} &= 12\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]x+6 &= 9&& \text{ move 6 to the right } \\[1 em]x &= 9-6&& \\[1 em]x &= 3&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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