Question 546082


{{{2(x-7)-4-x<8x+32}}} Start with the given inequality.



{{{2x-14-4-x<8x+32}}} Distribute.



{{{x-18<8x+32}}} Combine like terms on the left side.



{{{x<8x+32+18}}} Add {{{18}}} to both sides.



{{{x-8x<32+18}}} Subtract {{{8x}}} from both sides.



{{{-7x<32+18}}} Combine like terms on the left side.



{{{-7x<50}}} Combine like terms on the right side.



{{{x>(50)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-50/7}}} Reduce.



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Answer:


So the solution is {{{x>-50/7}}}