$$-8+5x = 5x+2$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -8+5x &= 5x+2&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]5x-5x &= 2+8&& \text{simplify left and right hand side} \\[1 em]5x-5x &= 10&& \\[1 em]0 &= 10&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 10 } $ is FALSE, we conclude that the equation has no solution.
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