Question 355540


{{{5(4+x)<3(2+x)}}} Start with the given inequality.



{{{20+5x<6+3x}}} Distribute.



{{{5x<6+3x-20}}} Subtract {{{20}}} from both sides.



{{{5x-3x<6-20}}} Subtract {{{3x}}} from both sides.



{{{2x<6-20}}} Combine like terms on the left side.



{{{2x<-14}}} Combine like terms on the right side.



{{{x<(-14)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



{{{x<-7}}} Reduce.



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Answer:


So the solution is {{{x<-7}}} 



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