SOLUTION: can someone plss help me by monday? im really stuck :( solve the equation. 15. x-2/x = 4 - x+4/x-3

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Question 473479: can someone plss help me by monday? im really stuck :(
solve the equation.
15. x-2/x = 4 - x+4/x-3
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2Fx+=+4+-+%28x%2B4%29%2F%28x-3%29
Combine right side into 1 fraction: common denominator of (x-3)
%28x-2%29%2Fx+=+4%28x-3%29%2F%28x-3%29+-+%28x%2B4%29%2F%28x-3%29
%28x-2%29%2Fx+=+%284%28x-3%29+-+%28x%2B4%29%29%2F%28x-3%29
%28x-2%29%2Fx+=+%284x+-12+-+x+-4%29%2F%28x-3%29
%28x-2%29%2Fx+=+%283x+-16%29%2F%28x-3%29
Cross-Multiply, this will get rid of fractions
%28x-2%29%28x-3%29+=+x%283x-16%29
x%5E2+-+5x+%2B6+=+3x%5E2+-+16x
Move everything to one side or set equation equal to zero.
2x%5E2+-+11x+-+6+=+0
Solve quadratic by factoring or quadratic formula:
This factors, 2*-6 = -12 AND -12 + 1 = -11
2x%5E2+-12x+%2Bx+-+6+=+0
2x%28x-6%29+%2B+%28x-6%29+=+0
%282x%2B1%29%28x-6%29+=+0
2x+1=0 --> x = -1/2
x-6 =0 --> x = 6
Hope this helped