$$ \begin{aligned} x+x\cdot\frac{225}{1000} &= 135&& \text{multiply ALL terms by } \color{blue}{ 1000 }. \\[1 em]1000x+1000x\cdot\frac{225}{1000} &= 1000\cdot135&& \text{cancel out the denominators} \\[1 em]1000x+225x &= 135000&& \text{simplify left side} \\[1 em]1225x &= 135000&& \text{ divide both sides by $ 1225 $ } \\[1 em]x &= \frac{135000}{1225}&& \\[1 em]x &= \frac{5400}{49}&& \\[1 em] \end{aligned} $$

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