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4x+19-6x+6>0
Use the distributive property to multiply -6 by x-1.
-2x+19+6>0
Combine 4x and -6x to get -2x.
-2x+25>0
Add 19 and 6 to get 25.
-2x>-25
Subtract 25 from both sides. Anything subtracted from zero gives its negation.
x<\frac{-25}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x<\frac{25}{2}
Fraction \frac{-25}{-2} can be simplified to \frac{25}{2} by removing the negative sign from both the numerator and the denominator.