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4x-8<6x+9
Use the distributive property to multiply 4 by x-2.
4x-8-6x<9
Subtract 6x from both sides.
-2x-8<9
Combine 4x and -6x to get -2x.
-2x<9+8
Add 8 to both sides.
-2x<17
Add 9 and 8 to get 17.
x>-\frac{17}{2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.