$$ \begin{aligned} 4x-3\cdot\frac{90}{1049} &= 10&& \text{multiply ALL terms by } \color{blue}{ 1049 }. \\[1 em]1049\cdot4x-1049\cdot3\cdot\frac{90}{1049} &= 1049\cdot10&& \text{cancel out the denominators} \\[1 em]4196x-270 &= 10490&& \text{ move -270 to the right } \\[1 em]4196x &= 10490+270&& \\[1 em]4196x &= 10760&& \text{ divide both sides by $ 4196 $ } \\[1 em]x &= \frac{10760}{4196}&& \\[1 em]x &= \frac{2690}{1049}&& \\[1 em] \end{aligned} $$

This page was created using