$$ \begin{aligned} 5(3x+5) &= 3(x+3)-2&& \text{simplify left and right hand side} \\[1 em]15x+25 &= 3x+9-2&& \\[1 em]15x+25 &= 3x+7&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 25 }$ to the right} \\[1 em]15x-3x &= 7-25&& \text{simplify left and right hand side} \\[1 em]12x &= -18&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= -\frac{18}{12}&& \\[1 em]x &= -\frac{3}{2}&& \\[1 em] \end{aligned} $$

This page was created using