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x-9<3x-3
Use the distributive property to multiply 3 by x-1.
x-9-3x<-3
Subtract 3x from both sides.
-2x-9<-3
Combine x and -3x to get -2x.
-2x<-3+9
Add 9 to both sides.
-2x<6
Add -3 and 9 to get 6.
x>\frac{6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>-3
Divide 6 by -2 to get -3.