Question 665168


{{{-3(2x-4)<3x+6}}} Start with the given inequality.



{{{-6x+12<3x+6}}} Distribute.



{{{-6x<3x+6-12}}} Subtract {{{12}}} from both sides.



{{{-6x-3x<6-12}}} Subtract {{{3x}}} from both sides.



{{{-9x<6-12}}} Combine like terms on the left side.



{{{-9x<-6}}} Combine like terms on the right side.



{{{x>(-6)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>2/3}}} Reduce.



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Answer:


So the solution is {{{x>2/3}}}