Question
$$x+\frac{2}{7} = 1$$
Answer
$$ x = \dfrac{5}{7} $$
Explanation
$$ \begin{aligned} x+\frac{2}{7} &= 1&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7x+7\cdot\frac{2}{7} &= 7\cdot1&& \text{cancel out the denominators} \\[1 em]7x+2 &= 7&& \text{ move 2 to the right } \\[1 em]7x &= 7-2&& \\[1 em]7x &= 5&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{5}{7}&& \\[1 em] \end{aligned} $$
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