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3x-1-x>37
Subtract x from both sides.
2x-1>37
Combine 3x and -x to get 2x.
2x>37+1
Add 1 to both sides.
2x>38
Add 37 and 1 to get 38.
x>\frac{38}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>19
Divide 38 by 2 to get 19.