Solve for x
x>4
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4x+6-10<6\left(x-2\right)
Use the distributive property to multiply 2 by 2x+3.
4x-4<6\left(x-2\right)
Subtract 10 from 6 to get -4.
4x-4<6x-12
Use the distributive property to multiply 6 by x-2.
4x-4-6x<-12
Subtract 6x from both sides.
-2x-4<-12
Combine 4x and -6x to get -2x.
-2x<-12+4
Add 4 to both sides.
-2x<-8
Add -12 and 4 to get -8.
x>\frac{-8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>4
Divide -8 by -2 to get 4.
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