SOLUTION: How do you solve this? : 1/3x+1/2=5/6x

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Question 99273This question is from textbook Algebra 1
: How do you solve this? :
1/3x+1/2=5/6x This question is from textbook Algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1/3x+1/2=5/6x
:
Assume you mean (x in not part of the denominator):
%281%2F3%29x+%2B+1%2F2+=+%285%2F6%29x
:
Recognize that multiplying the equation by 6 will eliminate the denominators
6*%281%2F3%29x + 6*1%2F2 = 6*%285%2F6%29x
:
Cancel out the denominators and you have:
2x + 3 = 5x
:
3 = 5x - 2x
:
3 = 3x
:
x = 1
:
Check solution by substitution in the original equation
%281%2F3%29%281%29+%2B+1%2F2+=+%285%2F6%29%281%29
:
1%2F3+%2B+1%2F2+=+5%2F6
:
2%2F6+%2B+3%2F6+=+5%2F6