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((3x-1)/2)-((x+1)/3)=2
We move all terms to the left:
((3x-1)/2)-((x+1)/3)-(2)=0
We calculate fractions
(9x-3)/()+(-2x-2)/()-2=0
We multiply all the terms by the denominator
(9x-3)+(-2x-2)-2*()=0
We add all the numbers together, and all the variables
(9x-3)+(-2x-2)=0
We get rid of parentheses
9x-2x-3-2=0
We add all the numbers together, and all the variables
7x-5=0
We move all terms containing x to the left, all other terms to the right
7x=5
x=5/7
x=5/7
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