Question 633203


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



{{{-6-30x+36>-30-18x}}} Distribute.



{{{-30x+30>-30-18x}}} Combine like terms on the left side.



{{{-30x>-30-18x-30}}} Subtract {{{30}}} from both sides.



{{{-30x+18x>-30-30}}} Add {{{18x}}} to both sides.



{{{-12x>-30-30}}} Combine like terms on the left side.



{{{-12x>-60}}} Combine like terms on the right side.



{{{x<(-60)/(-12)}}} Divide both sides by {{{-12}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<5}}} Reduce.



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Answer:


So the solution is {{{x<5}}} 


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