Question

$\frac{1}{7} = \frac{x - 6}{30}$
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Answer 1

$\sf\: \frac{1}{7} = \frac{x - 6}{30} \\ \\ \\ \sf\: \frac{1 \cdot30}{7} = x - 6 \\ \\ \\ \sf\:1 \cdot30 = 7(x - 6) \\ \\ \\ \sf\:30 = 7(x - 6) \\ \\ \\ \sf\:30 = 7x - 7 \cdot6 \\ \\ \\ \sf\:30 = 7x - 42 \\ \\ \\ \sf\: - 7x = - 42 - 30 \\ \\ \\ \sf\: - 7x = - 72 \\ \\ \\ \sf\: ( - ) \div ( - ) = (+ ) \\ \\ \\ \sf\:x = \frac{72}{7}$

Att: Nerd1990