$$ \begin{aligned} \frac{1}{3}x+\frac{2}{3}+\frac{5}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{1}{3}x+6\cdot\frac{2}{3}+6\cdot\frac{5}{6} &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]2x+4+5 &= 0&& \text{simplify left side} \\[1 em]2x+9 &= 0&& \text{ move the constants to the right } \\[1 em]2x &= -9&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{9}{2}&& \\[1 em] \end{aligned} $$

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