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10x-12-6x<-9
Subtract 6x from both sides.
4x-12<-9
Combine 10x and -6x to get 4x.
4x<-9+12
Add 12 to both sides.
4x<3
Add -9 and 12 to get 3.
x<\frac{3}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.