$$\frac{6}{8} = \frac{7}{x}$$
Answer
$$ x = \frac{28}{3} $$
Explanation
$$ \begin{aligned} \frac{6}{8} &= \frac{7}{x}&& \text{multiply ALL terms by } \color{blue}{ 8x }. \\[1 em]8x\cdot\frac{6}{8} &= 8x\cdot\frac{7}{x}&& \text{cancel out the denominators} \\[1 em]6x &= 56&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{56}{6}&& \\[1 em]x &= \frac{28}{3}&& \\[1 em] \end{aligned} $$
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