SOLUTION: {(x)/(2x+2)}={(-2x)/(4x+4)}+{(2x-3)/(x+1)} I need help with this question please I do not understand it.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {(x)/(2x+2)}={(-2x)/(4x+4)}+{(2x-3)/(x+1)} I need help with this question please I do not understand it.      Log On


   

Question 682549: {(x)/(2x+2)}={(-2x)/(4x+4)}+{(2x-3)/(x+1)}
I need help with this question please I do not understand it.
Found 2 solutions by ReadingBoosters, MathTherapy:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the entire equation by 4x+4, which is 4(x+1) to eliminate the fraction
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2x = -2x + 4(2x-3)
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2x = -2x + 8x - 12
12 = -2x - 2x + 8x
12= 4x
highlight_green%28x=+3%29
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Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
{(x)/(2x+2)}={(-2x)/(4x+4)}+{(2x-3)/(x+1)}
I need help with this question please I do not understand it.

x%2F%282x+%2B+2%29+=+%28-+2x%29%2F%284x+%2B+4%29+%2B+%282x+-+3%29%2F%28x+%2B+1%29

2x = - 2x + 4(2x - 3) ------ Multiplying by LCD, 4x + 4, or 2(2)(x + 1)
2x = - 2x + 8x - 12
2x + 2x - 8x = - 12
4x - 8x = - 12
- 4x = - 12

x+=+%28-+12%29%2F-4, or highlight_green%28x+=+3%29

You can do the check!!

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