SOLUTION: `x/(5x-25) - 2 = 1/(x-5) simplify and solve for x

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Question 344787: `x/(5x-25) - 2 = 1/(x-5) simplify and solve for x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%285x-25%29+-+2+=+1%2F%28x-5%29
%28x%2F5%29%2F%28x-5%29-1%2F%28x-5%29=2
1%2F%28x-5%29%28x%2F5-1%29=2
x%2F5-1=2%28x-5%29
Multiply both sides by 5.
x-5=10%28x-5%29
x-5=10x-50
-9x=-45
x=5
However, x=5 is not allowed as a solution since it leads to division by zero.
No solutions.