$$ \begin{aligned} x-\frac{2}{6} &= 2&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6x-6\cdot\frac{2}{6} &= 6\cdot2&& \text{cancel out the denominators} \\[1 em]6x-2 &= 12&& \text{ move -2 to the right } \\[1 em]6x &= 12+2&& \\[1 em]6x &= 14&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{14}{6}&& \\[1 em]x &= \frac{7}{3}&& \\[1 em] \end{aligned} $$

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