Question
$$2x+10 = 2x-20$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2x+10 &= 2x-20&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]2x-2x &= -20-10&& \text{simplify left and right hand side} \\[1 em]2x-2x &= -30&& \\[1 em]0 &= -30&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -30 } $ is FALSE, we conclude that the equation has no solution.
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