$$ \begin{aligned} 3x-2-5x &= 2x+9&& \text{simplify left side} \\[1 em]-2x-2 &= 2x+9&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]-2x-2x &= 9+2&& \text{simplify left and right hand side} \\[1 em]-4x &= 11&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{11}{4}&& \\[1 em] \end{aligned} $$

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