$$2 \cdot \frac{x}{7} = \frac{7}{9}$$
Answer
$$ x = \frac{49}{18} $$
Explanation
$$ \begin{aligned} 2 \cdot \frac{x}{7} &= \frac{7}{9}&& \text{multiply ALL terms by } \color{blue}{ 63 }. \\[1 em]63\cdot2 \cdot \frac{x}{7} &= 63\cdot\frac{7}{9}&& \text{cancel out the denominators} \\[1 em]18x &= 49&& \text{ divide both sides by $ 18 $ } \\[1 em]x &= \frac{49}{18}&& \\[1 em] \end{aligned} $$
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