$$ \begin{aligned} \frac{5}{6}x-3 &= -1&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5}{6}x-6\cdot3 &= 6\cdot(-1)&& \text{cancel out the denominators} \\[1 em]5x-18 &= -6&& \text{ move -18 to the right } \\[1 em]5x &= -6+18&& \\[1 em]5x &= 12&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{12}{5}&& \\[1 em] \end{aligned} $$

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