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