$$ \begin{aligned} \frac{250000}{15-x} &= 25000&& \text{multiply ALL terms by } \color{blue}{ 15-x }. \\[1 em](15-x)\cdot\frac{250000}{15-x} &= (15-x)\cdot25000&& \text{cancel out the denominators} \\[1 em]250000 &= -25000x+375000&& \text{ swap the left and right side of the equation } \\[1 em]-25000x+375000 &= 250000&& \text{ move 375000 to the right } \\[1 em]-25000x &= 250000-375000&& \\[1 em]-25000x &= -125000&& \text{ divide both sides by $ -25000 $ } \\[1 em]x &= \frac{-125000}{-25000}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

This page was created using