$$\frac{1}{5}x+\frac{1}{4} = -2$$

$$ \begin{aligned} \frac{1}{5}x+\frac{1}{4} &= -2&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{1}{5}x+20\cdot\frac{1}{4} &= 20\cdot(-2)&& \text{cancel out the denominators} \\[1 em]4x+5 &= -40&& \text{ move 5 to the right } \\[1 em]4x &= -40-5&& \\[1 em]4x &= -45&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{45}{4}&& \\[1 em] \end{aligned} $$

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