SOLUTION: 7/2x-1=2x+5

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Question 208462: 7/2x-1=2x+5
Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
7/2x-1=2x+5
3.5x-2x=5+1
1.5x=6
x=6/1.5
x=4 ans.
Proof:
3.5*4-1=2*4+5
14-1=8+5
13=13

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F%282x+-+1%29+=+2x+%2B+5

7 = (2x + 5)(2x – 1) -------- Multiply by LCD, 2x – 1
7+=+4x%5E2+%2B+8x+-+5 FOIL binomials
0+=+4x%5E2+%2B+8x+-+12
2%280%29+=+2%282x%5E2+%2B+4x+-+6%29, or, 2x%5E2+%2B+4x+-+6+=+0 -------- Factor out GCF

(2x - 2)(x + 3) = 0

2x – 2 = 0, or, x + 3 = 0
Therefore, x = highlight_green%281%29 or highlight_green%28-+3%29