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500x+600-200x>2000
Subtract 200x from both sides.
300x+600>2000
Combine 500x and -200x to get 300x.
300x>2000-600
Subtract 600 from both sides.
300x>1400
Subtract 600 from 2000 to get 1400.
x>\frac{1400}{300}
Divide both sides by 300. Since 300 is positive, the inequality direction remains the same.
x>\frac{14}{3}
Reduce the fraction \frac{1400}{300} to lowest terms by extracting and canceling out 100.