Solve the inequality - 5 (3x+4) <6-3x

x>-13/6

Step-by-step explanation:

First you multiply inside the bracket by - 5 on left side. You get

-15x-20<6-3x

Then you place the like terms on same sides for which you add 3x to both side to get rid of 3x from right side and you add 20 to both sides to get ride of 20 from left side

-15x+3x<20+6

then you solve for x

-12x<26

x<-26/12

x> - 13/6 (the inequality sign changes due to multiplication by a negative number)