$$ \begin{aligned} 2567 &= x-\frac{x}{9}&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9\cdot2567 &= 9x-9 \cdot \frac{x}{9}&& \text{cancel out the denominators} \\[1 em]23103 &= 9x-x&& \text{simplify right side} \\[1 em]23103 &= 8x&& \text{ swap the left and right side of the equation } \\[1 em]8x &= 23103&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{23103}{8}&& \\[1 em] \end{aligned} $$

This page was created using