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