SOLUTION: Please help me solve this equation: 6x/x+2-6= x-18/x-2

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Question 238261: Please help me solve this equation: 6x/x+2-6= x-18/x-2
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

I'm reasonably certain you mean:

Although there is at least two other interpretations possible.

Be that as it may, you are going to get an answer to what I think it means.

None of the denominators have any factors in common, so the LCD is just the product of all the denominators:

Apply the common denominator:

Multiply by the common denominator:

Distribute to remove the parentheses and combine like terms. (verification of this next step is left as an exercise for the student)

Solve for . Hint: It factors. Remember to check both roots for validity and for inclusion in the domain of the original equation.

John