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8x-36<11x-6
Use the distributive property to multiply 4 by 2x-9.
8x-36-11x<-6
Subtract 11x from both sides.
-3x-36<-6
Combine 8x and -11x to get -3x.
-3x<-6+36
Add 36 to both sides.
-3x<30
Add -6 and 36 to get 30.
x>\frac{30}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-10
Divide 30 by -3 to get -10.