Question
$$4x+12 = 4x-12$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 4x+12 &= 4x-12&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]4x-4x &= -12-12&& \text{simplify left and right hand side} \\[1 em]4x-4x &= -24&& \\[1 em]0 &= -24&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -24 } $ is FALSE, we conclude that the equation has no solution.
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