$$ \begin{aligned} 2x+2 &= 6(x+1)&& \text{simplify right side} \\[1 em]2x+2 &= 6x+6&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]2x-6x &= 6-2&& \text{simplify left and right hand side} \\[1 em]-4x &= 4&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{4}{4}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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