$$ \begin{aligned} 10(x-5)+4(x+9) &= 2(x-12)&& \text{simplify left and right hand side} \\[1 em]10x-50+4x+36 &= 2x-24&& \\[1 em]14x-14 &= 2x-24&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -14 }$ to the right} \\[1 em]14x-2x &= -24+14&& \text{simplify left and right hand side} \\[1 em]12x &= -10&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= -\frac{10}{12}&& \\[1 em]x &= -\frac{5}{6}&& \\[1 em] \end{aligned} $$

This page was created using