$$-5(x+2) = 3\cdot(4-x)$$

$$ \begin{aligned} -5(x+2) &= 3\cdot(4-x)&& \text{simplify left and right hand side} \\[1 em]-(5x+10) &= 12-3x&& \\[1 em]-5x-10 &= -3x+12&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]-5x+3x &= 12+10&& \text{simplify left and right hand side} \\[1 em]-2x &= 22&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{22}{2}&& \\[1 em]x &= -11&& \\[1 em] \end{aligned} $$

This page was created using