$$ \begin{aligned} 11x-2+9x+1 &= 19x+3&& \text{simplify left side} \\[1 em]20x-1 &= 19x+3&& \text{move the $ \color{blue}{ 19x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]20x-19x &= 3+1&& \text{simplify left and right hand side} \\[1 em]x &= 4&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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