Question 536056

{{{2(x+6)>=3x-2}}} Start with the given inequality.



{{{2x+12>=3x-2}}} Distribute.



{{{2x>=3x-2-12}}} Subtract {{{12}}} from both sides.



{{{2x-3x>=-2-12}}} Subtract {{{3x}}} from both sides.



{{{-x>=-2-12}}} Combine like terms on the left side.



{{{-x>=-14}}} Combine like terms on the right side.



{{{x<=(-14)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=14}}} Reduce.



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Answer:


So the solution is {{{x<=14}}} 



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