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5x-7-8x<2
Subtract 8x from both sides.
-3x-7<2
Combine 5x and -8x to get -3x.
-3x<2+7
Add 7 to both sides.
-3x<9
Add 2 and 7 to get 9.
x>\frac{9}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-3
Divide 9 by -3 to get -3.