Question
$$\frac{x}{10} = \frac{14}{15}$$
Answer
$$ x = \dfrac{28}{3} $$
Explanation
$$ \begin{aligned} \frac{x}{10} &= \frac{14}{15}&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30 \cdot \frac{x}{10} &= 30\cdot\frac{14}{15}&& \text{cancel out the denominators} \\[1 em]3x &= 28&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{28}{3}&& \\[1 em] \end{aligned} $$
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