$$ \begin{aligned} \frac{14}{21}-\frac{x}{6} &= -2&& \text{multiply ALL terms by } \color{blue}{ 42 }. \\[1 em]42\cdot\frac{14}{21}-42\frac{x}{6} &= 42\cdot(-2)&& \text{cancel out the denominators} \\[1 em]28-7x &= -84&& \text{ move 28 to the right } \\[1 em]-7x &= -84-28&& \\[1 em]-7x &= -112&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-112}{-7}&& \\[1 em]x &= 16&& \\[1 em] \end{aligned} $$

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