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5x-3-6x>-4
Subtract 6x from both sides.
-x-3>-4
Combine 5x and -6x to get -x.
-x>-4+3
Add 3 to both sides.
-x>-1
Add -4 and 3 to get -1.
x<\frac{-1}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x<1
Divide -1 by -1 to get 1.