82<8-7x

$$\\82<8-7x\\ 74<-7x\\ -7x>74\qquad \mbox{When you swap sides you have to turn the sign around}\\ x<74/-7 \qquad \mbox{When you mult or divide by a neg you swap the sign around}$$

it means x will be whatever makes that equation bigger than 82.   example:   x= -12