$$ \begin{aligned} x+\frac{14}{2} &= 10&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x+2\cdot\frac{14}{2} &= 2\cdot10&& \text{cancel out the denominators} \\[1 em]2x+14 &= 20&& \text{ move 14 to the right } \\[1 em]2x &= 20-14&& \\[1 em]2x &= 6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{6}{2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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