$$2(x-7) = 5(x+3)-x$$

$$ \begin{aligned} 2(x-7) &= 5(x+3)-x&& \text{simplify left and right hand side} \\[1 em]2x-14 &= 5x+15-x&& \\[1 em]2x-14 &= 4x+15&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -14 }$ to the right} \\[1 em]2x-4x &= 15+14&& \text{simplify left and right hand side} \\[1 em]-2x &= 29&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{29}{2}&& \\[1 em] \end{aligned} $$

This page was created using