$$\frac{3}{7}x = \frac{12}{35}$$
Answer
$$ x = \frac{4}{5} $$
Explanation
$$ \begin{aligned} \frac{3}{7}x &= \frac{12}{35}&& \text{multiply ALL terms by } \color{blue}{ 35 }. \\[1 em]35 \cdot \frac{3}{7}x &= 35\cdot\frac{12}{35}&& \text{cancel out the denominators} \\[1 em]15x &= 12&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{12}{15}&& \\[1 em]x &= \frac{4}{5}&& \\[1 em] \end{aligned} $$
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