$$ \begin{aligned} x+22 &= 2x+29&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 22 }$ to the right} \\[1 em]x-2x &= 29-22&& \text{simplify left and right hand side} \\[1 em]-x &= 7&& \text{switch signs on both sides} \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$