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0-23x+6>0
Anything times zero gives zero.
6-23x>0
Add 0 and 6 to get 6.
-23x>-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x<\frac{-6}{-23}
Divide both sides by -23. Since -23 is negative, the inequality direction is changed.
x<\frac{6}{23}
Fraction \frac{-6}{-23} can be simplified to \frac{6}{23} by removing the negative sign from both the numerator and the denominator.