$$ \begin{aligned} \frac{2}{7}x+\frac{6}{14} &= 5&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14 \cdot \frac{2}{7}x+14\cdot\frac{6}{14} &= 14\cdot5&& \text{cancel out the denominators} \\[1 em]4x+6 &= 70&& \text{ move 6 to the right } \\[1 em]4x &= 70-6&& \\[1 em]4x &= 64&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{64}{4}&& \\[1 em]x &= 16&& \\[1 em] \end{aligned} $$

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