$$ \begin{aligned} \frac{2}{3}x-10 &= -12&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x-3\cdot10 &= 3\cdot(-12)&& \text{cancel out the denominators} \\[1 em]2x-30 &= -36&& \text{ move -30 to the right } \\[1 em]2x &= -36+30&& \\[1 em]2x &= -6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{6}{2}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$

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