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4x+6-10<5\left(x-2\right)
Use the distributive property to multiply 2 by 2x+3.
4x-4<5\left(x-2\right)
Subtract 10 from 6 to get -4.
4x-4<5x-10
Use the distributive property to multiply 5 by x-2.
4x-4-5x<-10
Subtract 5x from both sides.
-x-4<-10
Combine 4x and -5x to get -x.
-x<-10+4
Add 4 to both sides.
-x<-6
Add -10 and 4 to get -6.
x>\frac{-6}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x>6
Fraction \frac{-6}{-1} can be simplified to 6 by removing the negative sign from both the numerator and the denominator.