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