$$ \begin{aligned} \frac{2}{3}(6x-9) &= 10&& \text{simplify left side} \\[1 em]\frac{12x-18}{3} &= 10&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{12x-18}{3} &= 3\cdot10&& \text{cancel out the denominators} \\[1 em]12x-18 &= 30&& \text{ move -18 to the right } \\[1 em]12x &= 30+18&& \\[1 em]12x &= 48&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{48}{12}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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