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2x-2+3>5
Use the distributive property to multiply 2 by x-1.
2x+1>5
Add -2 and 3 to get 1.
2x>5-1
Subtract 1 from both sides.
2x>4
Subtract 1 from 5 to get 4.
x>\frac{4}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>2
Divide 4 by 2 to get 2.