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