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4x+1-6x>5
Subtract 6x from both sides.
-2x+1>5
Combine 4x and -6x to get -2x.
-2x>5-1
Subtract 1 from both sides.
-2x>4
Subtract 1 from 5 to get 4.
x<\frac{4}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x<-2
Divide 4 by -2 to get -2.