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2x-\left(3x-1\right)>2
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
2x-3x-\left(-1\right)>2
To find the opposite of 3x-1, find the opposite of each term.
2x-3x+1>2
The opposite of -1 is 1.
-x+1>2
Combine 2x and -3x to get -x.
-x>2-1
Subtract 1 from both sides.
-x>1
Subtract 1 from 2 to get 1.
x<-1
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.