Question
$$7x+\frac{1}{5^9} = 0$$
Answer
$$ x = -1 $$
Explanation
$$ \begin{aligned} 7x+\frac{1}{5^9} &= 0&& \text{multiply ALL terms by } \color{blue}{ 1953125 }. \\[1 em]1953125\cdot7x+1953125\cdot\frac{1}{5^9} &= 1953125\cdot0&& \text{cancel out the denominators} \\[1 em]13671875x+1 &= 0&& \text{ move the constants to the right } \\[1 em]x &= -1&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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