$$\frac{x}{5}+414 = 0$$
Answer
$$ x = -2070 $$
Explanation
$$ \begin{aligned} \frac{x}{5}+414 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{x}{5}+5\cdot414 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]x+2070 &= 0&& \text{ move the constants to the right } \\[1 em]x &= -2070&& \\[1 em]x &= -2070&& \\[1 em] \end{aligned} $$
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