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4x+19-6x+6>8
Use the distributive property to multiply -6 by x-1.
-2x+19+6>8
Combine 4x and -6x to get -2x.
-2x+25>8
Add 19 and 6 to get 25.
-2x>8-25
Subtract 25 from both sides.
-2x>-17
Subtract 25 from 8 to get -17.
x<\frac{-17}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x<\frac{17}{2}
Fraction \frac{-17}{-2} can be simplified to \frac{17}{2} by removing the negative sign from both the numerator and the denominator.