$$2x-\frac{6}{3} = 8$$

$$ \begin{aligned} 2x-\frac{6}{3} &= 8&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2x-3\cdot\frac{6}{3} &= 3\cdot8&& \text{cancel out the denominators} \\[1 em]6x-6 &= 24&& \text{ move -6 to the right } \\[1 em]6x &= 24+6&& \\[1 em]6x &= 30&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{30}{6}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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