SOLUTION: 3/(2x)-6/x=9

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Question 447427: 3/(2x)-6/x=9
Found 2 solutions by www.achukanjosh@gmail.com, Leaf W.:
Answer by www.achukanjosh@gmail.com(3) About Me  (Show Source):
You can put this solution on YOUR website!
3/(2x)-6/x=9
(3x-12x)/2x^2=9
(15x)/2x^2=9
15/2x=9
15=9*2x
15=18x
15/18=x
5/6=x
x=0.83(approx)

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F2x+-+6%2Fx+=+9
==> Find the least common denominator (LCD) of 2x and x. It is 2x.
==> Multiply everything in the equation by this LCD of 2x: %282x%29%283%2F2x%29+-+%282x%29%286%2Fx%29+=+%282x%29%289%29
==> Simplify. Notice that the 2x cancels out the /2x in 3%2F2x and the x cancels out the /x in 6%2Fx: 3 - 12 = 18x
==> Combine like terms: -9 = 18x
==> Divide both sides by 18: -9%2F18+=+x
==> Simplify: -1%2F2+=+x
*** Therefore, x is -1%2F2
==> You can check your answer by plugging this value of x back into the original equation.
==>3%2F%282%28-1%2F2%29%29+-+6%2F%28-1%2F2%29+=+9
==> Simplify. Notice that the 2 cancels out the /2 in -1%2F2, and that the - in the -6 and - in the -1%2F2 cancel each other out to become positive. Also, 6%2F%281%2F2%29+=+6%2A2: 3%2F-1+%2B+12+=+9
==> Simplify: -3 + 12 = 9
==> Combine like terms: 9 = 9
*** Therefore, x = -1%2F2