$$ \begin{aligned} \frac{1}{3}x-14 &= 2&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{1}{3}x-3\cdot14 &= 3\cdot2&& \text{cancel out the denominators} \\[1 em]x-42 &= 6&& \text{ move -42 to the right } \\[1 em]x &= 6+42&& \\[1 em]x &= 48&& \\[1 em]x &= 48&& \\[1 em] \end{aligned} $$
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