Question 624955
This is actually a linear inequality.


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



{{{5x+10>-2x+6}}} Distribute.



{{{5x>-2x+6-10}}} Subtract {{{10}}} from both sides.



{{{5x+2x>6-10}}} Add {{{2x}}} to both sides.



{{{7x>6-10}}} Combine like terms on the left side.



{{{7x>-4}}} Combine like terms on the right side.



{{{x>(-4)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>-4/7}}} 



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