Question 594536


{{{23-12x>-1(7+2x)}}} Start with the given inequality.



{{{23-12x>-7-2x}}} Distribute.



{{{-12x>-7-2x-23}}} Subtract {{{23}}} from both sides.



{{{-12x+2x>-7-23}}} Add {{{2x}}} to both sides.



{{{-10x>-7-23}}} Combine like terms on the left side.



{{{-10x>-30}}} Combine like terms on the right side.



{{{x<(-30)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<3}}} Reduce.



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Answer:


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