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6x<8-14-2x
Use the distributive property to multiply -2 by 7+x.
6x<-6-2x
Subtract 14 from 8 to get -6.
6x+2x<-6
Add 2x to both sides.
8x<-6
Combine 6x and 2x to get 8x.
x<\frac{-6}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x<-\frac{3}{4}
Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.