$$ \begin{aligned} \frac{x}{5}+\frac{10}{5} &= 3&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5}+5\cdot\frac{10}{5} &= 5\cdot3&& \text{cancel out the denominators} \\[1 em]x+10 &= 15&& \text{ move 10 to the right } \\[1 em]x &= 15-10&& \\[1 em]x &= 5&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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