Question
$$3x-(x+6)+8 = 2x+14$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3x-(x+6)+8 &= 2x+14&& \text{simplify left side} \\[1 em]3x-x-6+8 &= 2x+14&& \\[1 em]2x+2 &= 2x+14&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]2x-2x &= 14-2&& \text{simplify left and right hand side} \\[1 em]2x-2x &= 12&& \\[1 em]0 &= 12&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 12 } $ is FALSE, we conclude that the equation has no solution.
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