Question

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.

Answer 1

combining like terms

Explanation:

Answer 2

Below are the justification for the 5 steps which Caitlyn took in solving the equation: 2(3x+1)=3(2-x). Step 1: Expand the brackets on both sides of the equation 6x+2 = 6 - 3x Step 2: Collect the algebraic like terms 2 = 6 - 9x Step 3: Collect the numeric like terms -4 = -9x Step 4: Divide both sides to leave unknown values on one side 4/9 = x Step 5: Switch left and right hand sides x = 4/9