$$ \begin{aligned} \frac{x}{2}+3 &= 9&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x}{2}+2\cdot3 &= 2\cdot9&& \text{cancel out the denominators} \\[1 em]x+6 &= 18&& \text{ move 6 to the right } \\[1 em]x &= 18-6&& \\[1 em]x &= 12&& \\[1 em]x &= 12&& \\[1 em] \end{aligned} $$
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