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5x-3-6x<10
Subtract 6x from both sides.
-x-3<10
Combine 5x and -6x to get -x.
-x<10+3
Add 3 to both sides.
-x<13
Add 10 and 3 to get 13.
x>-13
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.