Question 179378
{{{5(6x-4)+3(14-3x)>4(5x+4)-4}}} Start with the given inequality.



{{{30x-20+42-9x>20x+16-4}}} Distribute.



{{{21x+22>20x+16-4}}} Combine like terms on the left side.



{{{21x+22>20x+12}}} Combine like terms on the right side.



{{{21x>20x+12-22}}} Subtract {{{22}}} from both sides.



{{{21x-20x>12-22}}} Subtract {{{20x}}} from both sides.



{{{x>12-22}}} Combine like terms on the left side.



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



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Answer:


So the answer is {{{x>-10}}}