SOLUTION: How many solutions does 5(x -4) = 5(x-9) have?

Question 1079603: How many solutions does 5(x -4) = 5(x-9) have?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
None.
5(x-4)=5(x-9) happens when, and only when
x-4=x-9.
Those 2 equation are equivalent, meaning that they have exactly the same solutions.
Then, x-4=x-9 happens wben, and only when
-4 = -9 .
That happens never.
There is no value of x that will make
4 = 9 , or -4 = -9 .
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