$$ \begin{aligned} \frac{5}{3}-2x &= \frac{1}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{5}{3}-6\cdot2x &= 6\cdot\frac{1}{6}&& \text{cancel out the denominators} \\[1 em]10-12x &= 1&& \text{ move 10 to the right } \\[1 em]-12x &= 1-10&& \\[1 em]-12x &= -9&& \text{ divide both sides by $ -12 $ } \\[1 em]x &= \frac{-9}{-12}&& \\[1 em]x &= \frac{3}{4}&& \\[1 em] \end{aligned} $$

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