$$ \begin{aligned} 10+\frac{10}{5}x\cdot2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot10+5 \cdot \frac{10}{5}x\cdot2 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]50+20x &= 0&& \text{ move the constants to the right } \\[1 em]20x &= -50&& \text{ divide both sides by $ 20 $ } \\[1 em]x &= -\frac{50}{20}&& \\[1 em]x &= -\frac{5}{2}&& \\[1 em] \end{aligned} $$

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