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5x-2-3x>2
Subtract 3x from both sides.
2x-2>2
Combine 5x and -3x to get 2x.
2x>2+2
Add 2 to both sides.
2x>4
Add 2 and 2 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.