Question 680567


{{{-3(8-4x)-3x<7x-18}}} Start with the given inequality.



{{{-24+12x-3x<7x-18}}} Distribute.



{{{9x-24<7x-18}}} Combine like terms on the left side.



{{{9x<7x-18+24}}} Add {{{24}}} to both sides.



{{{9x-7x<-18+24}}} Subtract {{{7x}}} from both sides.



{{{2x<-18+24}}} Combine like terms on the left side.



{{{2x<6}}} Combine like terms on the right side.



{{{x<(6)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



{{{x<3}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{x<3}}}