$$x-\frac{2}{14} = \frac{2}{7}$$

$$ \begin{aligned} x-\frac{2}{14} &= \frac{2}{7}&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14x-14\cdot\frac{2}{14} &= 14\cdot\frac{2}{7}&& \text{cancel out the denominators} \\[1 em]14x-2 &= 4&& \text{ move -2 to the right } \\[1 em]14x &= 4+2&& \\[1 em]14x &= 6&& \text{ divide both sides by $ 14 $ } \\[1 em]x &= \frac{6}{14}&& \\[1 em]x &= \frac{3}{7}&& \\[1 em] \end{aligned} $$

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