SOLUTION: 5/6x+1/3= 3/4x-1/2

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Question 95142: 5/6x+1/3= 3/4x-1/2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean (x is not in the denominator)
%285%2F6%29x+%2B+%281%2F3%29+=+%283%2F4%29x+-+%281%2F2%29
:
Find a common multiple of all these denominators and multiply
12 is good choice:
12%285%2F6%29x+%2B+12%281%2F3%29+=+12%283%2F4%29x+-+12%281%2F2%29
:
After some easy canceling we have:
2(5)x + 4(1) = 3(3)x - 6(1)
:
10x + 4 = 9x - 6
:
Some basic algebra operations:
10x - 9x = -6 - 4
x = -10
:
You can substitute -10 for x in the original equation and check for equality