$$ \begin{aligned} \frac{x}{5}+7 &= 17&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5}+5\cdot7 &= 5\cdot17&& \text{cancel out the denominators} \\[1 em]x+35 &= 85&& \text{ move 35 to the right } \\[1 em]x &= 85-35&& \\[1 em]x &= 50&& \\[1 em]x &= 50&& \\[1 em] \end{aligned} $$
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