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4x+8-9x>-12
Subtract 9x from both sides.
-5x+8>-12
Combine 4x and -9x to get -5x.
-5x>-12-8
Subtract 8 from both sides.
-5x>-20
Subtract 8 from -12 to get -20.
x<\frac{-20}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x<4
Divide -20 by -5 to get 4.