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7-5x-5<3\left(x-2\right)
Use the distributive property to multiply -5 by x+1.
2-5x<3\left(x-2\right)
Subtract 5 from 7 to get 2.
2-5x<3x-6
Use the distributive property to multiply 3 by x-2.
2-5x-3x<-6
Subtract 3x from both sides.
2-8x<-6
Combine -5x and -3x to get -8x.
-8x<-6-2
Subtract 2 from both sides.
-8x<-8
Subtract 2 from -6 to get -8.
x>\frac{-8}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>1
Divide -8 by -8 to get 1.