So first expand 3(x+4)+2x: 5x+12 expand 6(x+1)-5: 6x+1 now we have 5x+12<6x+1 now we're going to subtract 12 from both sides 5x+12-12<6x+1-12 then simplify and we have 5x<6x-11 now we subtract 6x from both sides 5x-6x<6x-11-6x then simplify and we have -x<-11 now multiply both sides by -1 (reverse the inequality) (-x)(-1)>(-11)(-1) and simplify x>11 So your answer would be: x>11