$$ \begin{aligned} \frac{x}{5}+1 &= 7&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5}+5\cdot1 &= 5\cdot7&& \text{cancel out the denominators} \\[1 em]x+5 &= 35&& \text{ move 5 to the right } \\[1 em]x &= 35-5&& \\[1 em]x &= 30&& \\[1 em]x &= 30&& \\[1 em] \end{aligned} $$
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