$$ \begin{aligned} \frac{x}{3}+2 &= 5&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{x}{3}+3\cdot2 &= 3\cdot5&& \text{cancel out the denominators} \\[1 em]x+6 &= 15&& \text{ move 6 to the right } \\[1 em]x &= 15-6&& \\[1 em]x &= 9&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$
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