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3x+21-x>0
Subtract x from both sides.
2x+21>0
Combine 3x and -x to get 2x.
2x>-21
Subtract 21 from both sides. Anything subtracted from zero gives its negation.
x>-\frac{21}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.