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-6x-16<-5x+7x
Combine -8x and 2x to get -6x.
-6x-16<2x
Combine -5x and 7x to get 2x.
-6x-16-2x<0
Subtract 2x from both sides.
-8x-16<0
Combine -6x and -2x to get -8x.
-8x<16
Add 16 to both sides. Anything plus zero gives itself.
x>\frac{16}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>-2
Divide 16 by -8 to get -2.