$$ \begin{aligned} -2(5x+8)-8 &= -3x-8(-6x-3)&& \text{simplify left and right hand side} \\[1 em]-(10x+16)-8 &= -3x-(-48x-24)&& \\[1 em]-10x-16-8 &= -3x+48x+24&& \\[1 em]-10x-24 &= 45x+24&& \text{move the $ \color{blue}{ 45x } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]-10x-45x &= 24+24&& \text{simplify left and right hand side} \\[1 em]-55x &= 48&& \text{ divide both sides by $ -55 $ } \\[1 em]x &= -\frac{48}{55}&& \\[1 em] \end{aligned} $$

This page was created using