$$ \begin{aligned} \frac{2}{3}x+\frac{1}{2} &= -\frac{5}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{2}{3}x+6\cdot\frac{1}{2} &= -6\cdot\frac{5}{6}&& \text{cancel out the denominators} \\[1 em]4x+3 &= -5&& \text{ move 3 to the right } \\[1 em]4x &= -5-3&& \\[1 em]4x &= -8&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{8}{4}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$

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