$$ \begin{aligned} x+3(-\frac{1}{4}) &= 4&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4x+4\cdot3(-\frac{1}{4}) &= 4\cdot4&& \text{cancel out the denominators} \\[1 em]4x+0 &= 16&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{16}{4}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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