Question
$$-4+2x+2 = x+1+x$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -4+2x+2 &= x+1+x&& \text{simplify left and right hand side} \\[1 em]2x-2 &= 2x+1&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]2x-2x &= 1+2&& \text{simplify left and right hand side} \\[1 em]2x-2x &= 3&& \\[1 em]0 &= 3&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 3 } $ is FALSE, we conclude that the equation has no solution.
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