$$ \begin{aligned} -5+2x &= 5-(-9x-4)-5x&& \text{simplify left and right hand side} \\[1 em]2x-5 &= 5+9x+4-5x&& \\[1 em]2x-5 &= 4x+9&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]2x-4x &= 9+5&& \text{simplify left and right hand side} \\[1 em]-2x &= 14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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