SOLUTION: Please help solve for this equation Show the steps that you would take to solve the following algebraically: 5-2/x-6=10-2x/x-6 Show work here What potential solution di

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Question 122232This question is from textbook college algebra/ blitzer
: Please help solve for this equation
Show the steps that you would take to solve the following algebraically:
5-2/x-6=10-2x/x-6
Show work here
What potential solution did you obtain? Explain why this is not a solution.This question is from textbook college algebra/ blitzer

Found 2 solutions by stanbon, mae`01:
Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
5-2/(x-6)=(10-2x)/(x-6)
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Multiply both sides by (x-6) to get:
5(x-6) -2 = 10-2x
5x-30-2 = 10-2x
7x = 42
x = 6
--------
x = 6 cannot be a solution as it
would put zeroes in the denominator of
the original equation.
============
Cheers,
Stan H.

Answer by mae`01(1) (Show Source):
You can put this solution on YOUR website!