$$ \begin{aligned} \frac{2}{3} &= 8x&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot\frac{2}{3} &= 3\cdot8x&& \text{cancel out the denominators} \\[1 em]2 &= 24x&& \text{ swap the left and right side of the equation } \\[1 em]24x &= 2&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{2}{24}&& \\[1 em]x &= \frac{1}{12}&& \\[1 em] \end{aligned} $$

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