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5x+9-8x<18
Subtract 8x from both sides.
-3x+9<18
Combine 5x and -8x to get -3x.
-3x<18-9
Subtract 9 from both sides.
-3x<9
Subtract 9 from 18 to get 9.
x>\frac{9}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-3
Divide 9 by -3 to get -3.