$$ \begin{aligned} 7x-4(x+8) &= 4x-4&& \text{simplify left side} \\[1 em]7x-(4x+32) &= 4x-4&& \\[1 em]7x-4x-32 &= 4x-4&& \\[1 em]3x-32 &= 4x-4&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -32 }$ to the right} \\[1 em]3x-4x &= -4+32&& \text{simplify left and right hand side} \\[1 em]-x &= 28&& \text{switch signs on both sides} \\[1 em]x &= -28&& \\[1 em] \end{aligned} $$

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