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3x-6-13x>6
Subtract 13x from both sides.
-10x-6>6
Combine 3x and -13x to get -10x.
-10x>6+6
Add 6 to both sides.
-10x>12
Add 6 and 6 to get 12.
x<\frac{12}{-10}
Divide both sides by -10. Since -10 is negative, the inequality direction is changed.
x<-\frac{6}{5}
Reduce the fraction \frac{12}{-10} to lowest terms by extracting and canceling out 2.