50 points!! help with justification of these steps please

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). She solves for x in 5 steps:

6x+2 = 6 - 3x
2 = 6 - 9x
-4 = -9x
4/9 = x
x = 4/9

What is the justification for each of the steps that Caitlyn took? Give the Algebraic Property for each step.