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2x-x-\left(-1\right)<3
To find the opposite of x-1, find the opposite of each term.
2x-x+1<3
The opposite of -1 is 1.
x+1<3
Combine 2x and -x to get x.
x<3-1
Subtract 1 from both sides.
x<2
Subtract 1 from 3 to get 2.