$$ \begin{aligned} 160x\cdot\frac{3}{5}+5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5160x\cdot\frac{3}{5}+5\cdot5 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]480x+25 &= 0&& \text{ move the constants to the right } \\[1 em]480x &= -25&& \text{ divide both sides by $ 480 $ } \\[1 em]x &= -\frac{25}{480}&& \\[1 em]x &= -\frac{5}{96}&& \\[1 em] \end{aligned} $$
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