$$ \begin{aligned} 2(-2x-4)+6 &= 5-3(x+1)&& \text{simplify left and right hand side} \\[1 em]-4x-8+6 &= 5-(3x+3)&& \\[1 em]-4x-2 &= 5-3x-3&& \\[1 em]-4x-2 &= -3x+2&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]-4x+3x &= 2+2&& \text{simplify left and right hand side} \\[1 em]-x &= 4&& \text{switch signs on both sides} \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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