$$ \begin{aligned} 8x+4 &= 3-(2x+2)&& \text{simplify right side} \\[1 em]8x+4 &= 3-2x-2&& \\[1 em]8x+4 &= -2x+1&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]8x+2x &= 1-4&& \text{simplify left and right hand side} \\[1 em]10x &= -3&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= -\frac{3}{10}&& \\[1 em] \end{aligned} $$

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