$$ \begin{aligned} 5+\frac{2}{7}x &= -9&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot5+7 \cdot \frac{2}{7}x &= 7\cdot(-9)&& \text{cancel out the denominators} \\[1 em]35+2x &= -63&& \text{ move 35 to the right } \\[1 em]2x &= -63-35&& \\[1 em]2x &= -98&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{98}{2}&& \\[1 em]x &= -49&& \\[1 em] \end{aligned} $$

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