$$ \begin{aligned} 5-2(5x+9) &= 9x-4(-8x+5)&& \text{simplify left and right hand side} \\[1 em]5-(10x+18) &= 9x-(-32x+20)&& \\[1 em]5-10x-18 &= 9x+32x-20&& \\[1 em]-10x-13 &= 41x-20&& \text{move the $ \color{blue}{ 41x } $ to the left side and $ \color{blue}{ -13 }$ to the right} \\[1 em]-10x-41x &= -20+13&& \text{simplify left and right hand side} \\[1 em]-51x &= -7&& \text{ divide both sides by $ -51 $ } \\[1 em]x &= \frac{-7}{-51}&& \\[1 em]x &= \frac{7}{51}&& \\[1 em] \end{aligned} $$

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