$$ \begin{aligned} 5(x-7) &= 10(x+3)&& \text{simplify left and right hand side} \\[1 em]5x-35 &= 10x+30&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ -35 }$ to the right} \\[1 em]5x-10x &= 30+35&& \text{simplify left and right hand side} \\[1 em]-5x &= 65&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{65}{5}&& \\[1 em]x &= -13&& \\[1 em] \end{aligned} $$

This page was created using