$$ \begin{aligned} 7+x &= 2(x+1)&& \text{simplify left and right hand side} \\[1 em]x+7 &= 2x+2&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]x-2x &= 2-7&& \text{simplify left and right hand side} \\[1 em]-x &= -5&& \text{switch signs on both sides} \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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