Question 577553


{{{7(x+4)-13>12+13(3+x)}}} Start with the given inequality.



{{{7x+28-13>12+39+13x}}} Distribute.



{{{7x+15>12+39+13x}}} Combine like terms on the left side.



{{{7x+15>13x+51}}} Combine like terms on the right side.



{{{7x>13x+51-15}}} Subtract {{{15}}} from both sides.



{{{7x-13x>51-15}}} Subtract {{{13x}}} from both sides.



{{{-6x>51-15}}} Combine like terms on the left side.



{{{-6x>36}}} Combine like terms on the right side.



{{{x<(36)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<-6}}} Reduce.



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Answer:


So the solution is {{{x<-6}}} 



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