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4x-6-9x<19
Subtract 9x from both sides.
-5x-6<19
Combine 4x and -9x to get -5x.
-5x<19+6
Add 6 to both sides.
-5x<25
Add 19 and 6 to get 25.
x>\frac{25}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x>-5
Divide 25 by -5 to get -5.