Question
$$3 \cdot \frac{x}{5} = \frac{2}{7}$$
Answer
$$ x = \dfrac{10}{21} $$
Explanation
$$ \begin{aligned} 3 \cdot \frac{x}{5} &= \frac{2}{7}&& \text{multiply ALL terms by } \color{blue}{ 35 }. \\[1 em]35\cdot3 \cdot \frac{x}{5} &= 35\cdot\frac{2}{7}&& \text{cancel out the denominators} \\[1 em]21x &= 10&& \text{ divide both sides by $ 21 $ } \\[1 em]x &= \frac{10}{21}&& \\[1 em] \end{aligned} $$
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