Question 325258


{{{6(x+9)-2>5+1(x-4)}}} Start with the given inequality.



{{{6x+54-2>5+x-4}}} Distribute.



{{{6x+52>5+x-4}}} Combine like terms on the left side.



{{{6x+52>x+1}}} Combine like terms on the right side.



{{{6x>x+1-52}}} Subtract {{{52}}} from both sides.



{{{6x-x>1-52}}} Subtract {{{x}}} from both sides.



{{{5x>1-52}}} Combine like terms on the left side.



{{{5x>-51}}} Combine like terms on the right side.



{{{x>(-51)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>-51/5}}}