Question
$$\frac{12}{10} = \frac{6}{x}$$
Answer
$$ x = 5 $$
Explanation
$$ \begin{aligned} \frac{12}{10} &= \frac{6}{x}&& \text{multiply ALL terms by } \color{blue}{ 10x }. \\[1 em]10x\cdot\frac{12}{10} &= 10x\cdot\frac{6}{x}&& \text{cancel out the denominators} \\[1 em]12x &= 60&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{60}{12}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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