$$ \begin{aligned} \frac{2^9}{2^8} &= x&& \text{multiply ALL terms by } \color{blue}{ 256 }. \\[1 em]256 \cdot \frac{2^9}{2^8} &= 256x&& \text{cancel out the denominators} \\[1 em]512 &= 256x&& \text{ swap the left and right side of the equation } \\[1 em]256x &= 512&& \text{ divide both sides by $ 256 $ } \\[1 em]x &= \frac{512}{256}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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