$$ \begin{aligned} 4(x-3) &= 2(x+1)-4&& \text{simplify left and right hand side} \\[1 em]4x-12 &= 2x+2-4&& \\[1 em]4x-12 &= 2x-2&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -12 }$ to the right} \\[1 em]4x-2x &= -2+12&& \text{simplify left and right hand side} \\[1 em]2x &= 10&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{10}{2}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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