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