$$ \begin{aligned} \frac{2}{5}x+150+\frac{1}{4}x &= 1.71&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{2}{5}x+20\cdot150+20\frac{1}{4}x &= 20\cdot1.71&& \text{cancel out the denominators} \\[1 em]8x+3000+5x &= 20&& \text{simplify left side} \\[1 em]13x+3000 &= 20&& \text{ move 3000 to the right } \\[1 em]13x &= 20-3000&& \\[1 em]13x &= -2980&& \text{ divide both sides by $ 13 $ } \\[1 em]x &= -\frac{2980}{13}&& \\[1 em] \end{aligned} $$

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