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x-2-7x<0
Subtract 7x from both sides.
-6x-2<0
Combine x and -7x to get -6x.
-6x<2
Add 2 to both sides. Anything plus zero gives itself.
x>\frac{2}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x>-\frac{1}{3}
Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.