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

Question 447427: 3/(2x)-6/x=9
Found 2 solutions by www.achukanjosh@gmail.com, Leaf W.:
Answer by www.achukanjosh@gmail.com(3) (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) (Show Source): You can put this solution on YOUR website!

==> Find the least common denominator (LCD) of 2x and x. It is 2x.
==> Multiply everything in the equation by this LCD of 2x:
==> Simplify. Notice that the 2x cancels out the /2x in and the x cancels out the /x in : 3 - 12 = 18x
==> Combine like terms: -9 = 18x
==> Divide both sides by 18:
==> Simplify:
*** Therefore, x is
==> You can check your answer by plugging this value of x back into the original equation.
==>
==> Simplify. Notice that the 2 cancels out the /2 in , and that the - in the -6 and - in the cancel each other out to become positive. Also, :
==> Simplify: -3 + 12 = 9
==> Combine like terms: 9 = 9
*** Therefore, x =
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