Question
$$\frac{x}{5}-7 = -8$$
Answer
$$ x = -5 $$
Explanation
$$ \begin{aligned} \frac{x}{5}-7 &= -8&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5}-5\cdot7 &= 5\cdot(-8)&& \text{cancel out the denominators} \\[1 em]x-35 &= -40&& \text{ move -35 to the right } \\[1 em]x &= -40+35&& \\[1 em]x &= -5&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$
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