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x-2>6x+33
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
x-2-6x>33
Subtract 6x from both sides.
-5x-2>33
Combine x and -6x to get -5x.
-5x>33+2
Add 2 to both sides.
-5x>35
Add 33 and 2 to get 35.
x<\frac{35}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x<-7
Divide 35 by -5 to get -7.