$$ \begin{aligned} 4(x+2)-x &= 2(x-1)+9&& \text{simplify left and right hand side} \\[1 em]4x+8-x &= 2x-2+9&& \\[1 em]3x+8 &= 2x+7&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]3x-2x &= 7-8&& \text{simplify left and right hand side} \\[1 em]x &= -1&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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