$$ \begin{aligned} 18x+23 &= 19x-2&& \text{move the $ \color{blue}{ 19x } $ to the left side and $ \color{blue}{ 23 }$ to the right} \\[1 em]18x-19x &= -2-23&& \text{simplify left and right hand side} \\[1 em]-x &= -25&& \text{switch signs on both sides} \\[1 em]x &= 25&& \\[1 em] \end{aligned} $$