$$ \begin{aligned} \frac{x}{3}+10 &= 15&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{x}{3}+3\cdot10 &= 3\cdot15&& \text{cancel out the denominators} \\[1 em]x+30 &= 45&& \text{ move 30 to the right } \\[1 em]x &= 45-30&& \\[1 em]x &= 15&& \\[1 em]x &= 15&& \\[1 em] \end{aligned} $$
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