$$ \begin{aligned} 4x+4 &= 4\cdot(2-3x)&& \text{simplify right side} \\[1 em]4x+4 &= 8-12x&& \\[1 em]4x+4 &= -12x+8&& \text{move the $ \color{blue}{ -12x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]4x+12x &= 8-4&& \text{simplify left and right hand side} \\[1 em]16x &= 4&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= \frac{4}{16}&& \\[1 em]x &= \frac{1}{4}&& \\[1 em] \end{aligned} $$

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