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(x-1)3=2
We move all terms to the left:
(x-1)3-(2)=0
We multiply parentheses
3x-3-2=0
We add all the numbers together, and all the variables
3x-5=0
We move all terms containing x to the left, all other terms to the right
3x=5
x=5/3
x=1+2/3
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