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