Question
$$3x+1 = 3(x+2)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3x+1 &= 3(x+2)&& \text{simplify right side} \\[1 em]3x+1 &= 3x+6&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]3x-3x &= 6-1&& \text{simplify left and right hand side} \\[1 em]3x-3x &= 5&& \\[1 em]0 &= 5&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 5 } $ is FALSE, we conclude that the equation has no solution.
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