SOLUTION: How do you know when an equation has no solution?

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Question 376186: How do you know when an equation has no solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The solution to the equation will lead to a contradiction.
.
.
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Example:
x%2B2=x-4
Subtract x from both sides.
2=-4
False, so there is no solution.