Solve the inequality 5x+3<3x-6

We need to solve this so we have a positive x term on one side.

First we can subtract 3 from both sides of the inequality to get:

5x<3x-9

Next we can subtract 3x from both sides to get:

2x<-9

Finally we can divide both sides by 2 to get:

x<-4.5

This gives us our possible values of x.