Question 395812


{{{-5(x-4)+3x>-16}}} Start with the given inequality.



{{{-5x+20+3x>-16}}} Distribute.



{{{-2x+20>-16}}} Combine like terms on the left side.



{{{-2x>-16-20}}} Subtract {{{20}}} from both sides.



{{{-2x>-36}}} Combine like terms on the right side.



{{{x<(-36)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<18}}} Reduce.



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Answer:


So the solution is {{{x<18}}} 



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