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(x-(x-1)/2)-((x-1)/3)=6
We move all terms to the left:
(x-(x-1)/2)-((x-1)/3)-(6)=0
We calculate fractions
(-2x+3)/()+(-2x+2)/()-6=0
We multiply all the terms by the denominator
(-2x+3)+(-2x+2)-6*()=0
We add all the numbers together, and all the variables
(-2x+3)+(-2x+2)=0
We get rid of parentheses
-2x-2x+3+2=0
We add all the numbers together, and all the variables
-4x+5=0
We move all terms containing x to the left, all other terms to the right
-4x=-5
x=-5/-4
x=1+1/4
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