$$ \begin{aligned} 88 &= 22 \cdot \frac{x}{77}&& \text{multiply ALL terms by } \color{blue}{ 77 }. \\[1 em]77\cdot88 &= 77\cdot22 \cdot \frac{x}{77}&& \text{cancel out the denominators} \\[1 em]6776 &= 22x&& \text{ swap the left and right side of the equation } \\[1 em]22x &= 6776&& \text{ divide both sides by $ 22 $ } \\[1 em]x &= \frac{6776}{22}&& \\[1 em]x &= 308&& \\[1 em] \end{aligned} $$

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