Question
$$\frac{4x+1}{5} = 0$$
Answer
$$ x = -\dfrac{1}{4} $$
Explanation
$$ \begin{aligned} \frac{4x+1}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{4x+1}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]4x+1 &= 0&& \text{ move the constants to the right } \\[1 em]4x &= -1&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{1}{4}&& \\[1 em] \end{aligned} $$
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