$$ \begin{aligned} -4+2(x+3)+9 &= 11+4(x-2)&& \text{simplify left and right hand side} \\[1 em]-4+2x+6+9 &= 11+4x-8&& \\[1 em]2x+2+9 &= 4x+3&& \\[1 em]2x+11 &= 4x+3&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 11 }$ to the right} \\[1 em]2x-4x &= 3-11&& \text{simplify left and right hand side} \\[1 em]-2x &= -8&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-8}{-2}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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