Question 178497
{{{6(5x-5)+4(15-5x)>3(3x+1)-2}}} Start with the given inequality.



{{{30x-30+60-20x>9x+3-2}}} Distribute.



{{{10x+30>9x+3-2}}} Combine like terms on the left side.



{{{10x+30>9x+1}}} Combine like terms on the right side.



{{{10x>9x+1-30}}} Subtract {{{30}}} from both sides.



{{{10x-9x>1-30}}} Subtract {{{9x}}} from both sides.



{{{x>1-30}}} Combine like terms on the left side.



{{{x>-29}}} Combine like terms on the right side.



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Answer:


So the answer is {{{x>-29}}}