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2x-1+2x>1
Add 2x to both sides.
4x-1>1
Combine 2x and 2x to get 4x.
4x>1+1
Add 1 to both sides.
4x>2
Add 1 and 1 to get 2.
x>\frac{2}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x>\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.