$$ \begin{aligned} 38+4x &= \frac{91}{2}+\frac{25}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot38+10\cdot4x &= 10\cdot\frac{91}{2}+10\cdot\frac{25}{10}&& \text{cancel out the denominators} \\[1 em]380+40x &= 455+25&& \text{simplify left and right hand side} \\[1 em]40x+380 &= 480&& \text{ move 380 to the right } \\[1 em]40x &= 480-380&& \\[1 em]40x &= 100&& \text{ divide both sides by $ 40 $ } \\[1 em]x &= \frac{100}{40}&& \\[1 em]x &= \frac{5}{2}&& \\[1 em] \end{aligned} $$

This page was created using