SOLUTION: 6x+7/4X-1 = 3X+8/2X-4 Hi, my name is Grace and I am having some trouble solving this equation. I am completely stumped because I don't have very helpful examples. Thank you

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 6x+7/4X-1 = 3X+8/2X-4 Hi, my name is Grace and I am having some trouble solving this equation. I am completely stumped because I don't have very helpful examples. Thank you       Log On


   

Question 944389: 6x+7/4X-1 = 3X+8/2X-4

Hi, my name is Grace and I am having some trouble solving this equation. I am completely stumped because I don't have very helpful examples. Thank you for your time
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6x+7/4X-1 = 3X+8/2X-4
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Cross-multiply::
(2x-4)(6x+7) = (4x-1)(3x+8)
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12x^2 + 14x - 24x - 28 = 12x^2 +32x - 3x - 8
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-10x - 28 = 29x - 8
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39x = -20
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x = -20/39
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Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Grace, here is how to do this problem:
%286x%2B7%29%2F%284x-1%29+=+%283x%2B8%29%2F%282x-4+%29..cross multiply
%286x%2B7%29%282x-4+%29+=+%283x%2B8%29%284x-1%29
6x%2A2x-4%2A6x%2B7%2A2x-4%2A7+=+3x%2A4x-3x%2A1%2B8%2A4x-1%2A8
cross%2812x%5E2%29-24x%2B14x-28+=+cross%2812x%5E2%29-3x%2B32x-8
-10x-28+=+29x-8
8-28+=+29x%2B10x
-20+=+39x
-20%2F39=x