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4x-3-x>-9
Subtract x from both sides.
3x-3>-9
Combine 4x and -x to get 3x.
3x>-9+3
Add 3 to both sides.
3x>-6
Add -9 and 3 to get -6.
x>\frac{-6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x>-2
Divide -6 by 3 to get -2.