$$ \begin{aligned} \frac{7x-4}{3} &= 14&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{7x-4}{3} &= 3\cdot14&& \text{cancel out the denominators} \\[1 em]7x-4 &= 42&& \text{ move -4 to the right } \\[1 em]7x &= 42+4&& \\[1 em]7x &= 46&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{46}{7}&& \\[1 em] \end{aligned} $$

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