SOLUTION: 6/x+8/9=10/3x solve for x

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Question 704757: 6/x+8/9=10/3x solve for x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
6%2Fx+%2B+8%2F9+=+10%2F%283x%29
multiply by 9x
9x*6%2Fx + 9x*8%2F9 = 9x*10%2F%283x%29
Cancel the denominators
9(6) + 8x = 3(10)
54 + 8x = 30
8x = 30 - 54
8x = -24
8x = -24/8
x = -3
:
:
Check in the original equation, replace x with -3
6%2F%28-3%29+%2B+8%2F9+=+10%2F%283%2A-3%29
-2 + 8%2F9 = 10%2F%28-9%29
-18%2F9 + 8%2F9 = -10%2F9