SOLUTION: Can you please help me with this problem 3/4=1-3x-2/x+1

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Question 205754: Can you please help me with this problem 3/4=1-3x-2/x+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
3%2F4 = 1 - %28%283x-2%29%29%2F%28%28x%2B1%29%29
:
multiply the equation by 4(x+1)
4(x+1)*3%2F4 = 4(x+1)*1 - 4(x+1)*%28%283x-2%29%29%2F%28%28x%2B1%29%29
:
cancel out the denominators and you have:
3(x+1) = 4(x+1) - 4(3x-2)
:
3x + 3 = 4x + 4 - 12x + 8
:
combine like terms
3x + 3 = -8x + 12
:
3x + 8x = 12 - 3
:
11x = 9
x = 9%2F11
;
:
Check the solution in the original equation, you can use the decimal .818 equiv
to get a close check on it
3%2F4 = 1 - %28%283%28.818%29-2%29%29%2F%28%28.818%2B1%29%29