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-5\left(2-x\right)<4x-6
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
-10+5x<4x-6
Use the distributive property to multiply -5 by 2-x.
-10+5x-4x<-6
Subtract 4x from both sides.
-10+x<-6
Combine 5x and -4x to get x.
x<-6+10
Add 10 to both sides.
x<4
Add -6 and 10 to get 4.