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2\left(5x-7x-14\right)>3\left(4-x\right)
Use the distributive property to multiply -7 by x+2.
2\left(-2x-14\right)>3\left(4-x\right)
Combine 5x and -7x to get -2x.
-4x-28>3\left(4-x\right)
Use the distributive property to multiply 2 by -2x-14.
-4x-28>12-3x
Use the distributive property to multiply 3 by 4-x.
-4x-28+3x>12
Add 3x to both sides.
-x-28>12
Combine -4x and 3x to get -x.
-x>12+28
Add 28 to both sides.
-x>40
Add 12 and 28 to get 40.
x<-40
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.