Question
$$-2+3x = 2x+6+x$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -2+3x &= 2x+6+x&& \text{simplify left and right hand side} \\[1 em]3x-2 &= 3x+6&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]3x-3x &= 6+2&& \text{simplify left and right hand side} \\[1 em]3x-3x &= 8&& \\[1 em]0 &= 8&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 8 } $ is FALSE, we conclude that the equation has no solution.
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