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

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