$$x+\frac{5}{7} = \frac{3}{2}$$

$$ \begin{aligned} x+\frac{5}{7} &= \frac{3}{2}&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14x+14\cdot\frac{5}{7} &= 14\cdot\frac{3}{2}&& \text{cancel out the denominators} \\[1 em]14x+10 &= 21&& \text{ move 10 to the right } \\[1 em]14x &= 21-10&& \\[1 em]14x &= 11&& \text{ divide both sides by $ 14 $ } \\[1 em]x &= \frac{11}{14}&& \\[1 em] \end{aligned} $$

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