$$ \begin{aligned} \frac{16}{31}-\frac{x}{11} &= -\frac{475}{341}&& \text{multiply ALL terms by } \color{blue}{ 341 }. \\[1 em]341\cdot\frac{16}{31}-341\frac{x}{11} &= -341\cdot\frac{475}{341}&& \text{cancel out the denominators} \\[1 em]176-31x &= -475&& \text{ move 176 to the right } \\[1 em]-31x &= -475-176&& \\[1 em]-31x &= -651&& \text{ divide both sides by $ -31 $ } \\[1 em]x &= \frac{-651}{-31}&& \\[1 em]x &= 21&& \\[1 em] \end{aligned} $$

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