SOLUTION: 1/(2 - x) + 4/(x + 7) = 6/(2 - x). I come up with the answer being -3. I just want to be sure I'm correct. Can you display your steps so i can see if my calculations and work d

Algebra ->  Expressions-with-variables -> SOLUTION: 1/(2 - x) + 4/(x + 7) = 6/(2 - x). I come up with the answer being -3. I just want to be sure I'm correct. Can you display your steps so i can see if my calculations and work d      Log On


   

Question 147708: 1/(2 - x) + 4/(x + 7) = 6/(2 - x).
I come up with the answer being -3. I just want to be sure I'm correct. Can you display your steps so i can see if my calculations and work display the same info.
Found 2 solutions by stanbon, mangopeeler07:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1/(2 - x) + 4/(x + 7) = 6/(2 - x).
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Multiply thru by (2-x)(x+7) to get:
(x+7) + 4(2-x) = 6(x+7)
5(x+7) = 4(2-x)
5x+35 = 8-4x
9x = -27
x = -3
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You are correct.
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Cheers,
Stan H.

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%282+-+x%29+%2B+4%2F%28x+%2B+7%29+=+6%2F%282+-+x%29. First get a common denominator, which is (x+7)(2-x). Then multiply the fractions in order for them to have that denominator. Your numerators should become x%2B7, 8-4x and 6x%2B42. Set up the equation x%2B7+%2B+8-4x=+6x%2B42. Then combine like terms and get -3x%2B15=6x%2B42. Add 3x to both sides: 15=9x%2B42. Subtract 42 from both sides: -27=9x. Divide by 9: -3=x. You were right!