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9x-14<6x-8
Use the distributive property to multiply 2 by 3x-4.
9x-14-6x<-8
Subtract 6x from both sides.
3x-14<-8
Combine 9x and -6x to get 3x.
3x<-8+14
Add 14 to both sides.
3x<6
Add -8 and 14 to get 6.
x<\frac{6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<2
Divide 6 by 3 to get 2.