Question 323900


{{{3(x-2)-1<2-5(x+6)}}} Start with the given inequality.



{{{3x-6-1<2-5x-30}}} Distribute.



{{{3x-7<2-5x-30}}} Combine like terms on the left side.



{{{3x-7<-5x-28}}} Combine like terms on the right side.



{{{3x<-5x-28+7}}} Add {{{7}}} to both sides.



{{{3x+5x<-28+7}}} Add {{{5x}}} to both sides.



{{{8x<-28+7}}} Combine like terms on the left side.



{{{8x<-21}}} Combine like terms on the right side.



{{{x<(-21)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x<-21/8}}}