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6x>-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x>\frac{-8}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>-\frac{4}{3}
Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.