$$ \begin{aligned} 9(-2x-2)-7 &= 4(-5x+4)-2x&& \text{simplify left and right hand side} \\[1 em]-18x-18-7 &= -20x+16-2x&& \\[1 em]-18x-25 &= -22x+16&& \text{move the $ \color{blue}{ -22x } $ to the left side and $ \color{blue}{ -25 }$ to the right} \\[1 em]-18x+22x &= 16+25&& \text{simplify left and right hand side} \\[1 em]4x &= 41&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{41}{4}&& \\[1 em] \end{aligned} $$

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