$$ \begin{aligned} 40x \cdot \frac{11^2}{60} &= 2x-11&& \text{multiply ALL terms by } \color{blue}{ 60 }. \\[1 em]6040x \cdot \frac{11^2}{60} &= 60\cdot2x-60\cdot11&& \text{cancel out the denominators} \\[1 em]4840x &= 120x-660&& \text{move the $ \color{blue}{ 120x } $ to the left side} \\[1 em]4840x-120x &= -660&& \text{simplify left side} \\[1 em]4720x &= -660&& \text{ divide both sides by $ 4720 $ } \\[1 em]x &= -\frac{660}{4720}&& \\[1 em]x &= -\frac{33}{236}&& \\[1 em] \end{aligned} $$

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