$$ \begin{aligned} \frac{48}{12}+4x\cdot\frac{25}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 60 }. \\[1 em]60\cdot\frac{48}{12}+604x\cdot\frac{25}{5} &= 60\cdot0&& \text{cancel out the denominators} \\[1 em]240+1200x &= 0&& \text{ move the constants to the right } \\[1 em]1200x &= -240&& \text{ divide both sides by $ 1200 $ } \\[1 em]x &= -\frac{240}{1200}&& \\[1 em]x &= -\frac{1}{5}&& \\[1 em] \end{aligned} $$
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