$$\frac{3}{10}h+\frac{12}{10} = \frac{1}{10}h-\frac{26}{10}$$

$$ \begin{aligned} \frac{3}{10}h+\frac{12}{10} &= \frac{1}{10}h-\frac{26}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{3}{10}h+10\cdot\frac{12}{10} &= 10 \cdot \frac{1}{10}h-10\cdot\frac{26}{10}&& \text{cancel out the denominators} \\[1 em]3h+12 &= h-26&& \text{move the $ \color{blue}{ h } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]3h-h &= -26-12&& \text{simplify left and right hand side} \\[1 em]2h &= -38&& \text{ divide both sides by $ 2 $ } \\[1 em]h &= -\frac{38}{2}&& \\[1 em]h &= -19&& \\[1 em] \end{aligned} $$

This page was created using