Identify the mathematical properties Liam uses to justify each step

Given the following expression:
[tex]\text{ 2x(x + 3) = 6x + 4}[/tex]Let's determine the mathematical properties being used as we simplify,
Step 1: Distributive Property
[tex]\text{ 2x(x + 3) = 6x + 4}[/tex][tex]\text{ (2x)(x)+ (2x)(3) = 6x + 4}[/tex][tex]\text{ 2x}^2\text{ + 6x = 6x + 4}[/tex]Step 2: Subtraction Property of Equality.
[tex]\text{ 2x}^2\text{ + 6x = 6x + 4}[/tex][tex]\text{ 2x}^2\text{ + 6x - 6x = 6x -6x + 4}[/tex][tex]\text{ 2x}^2\text{ = 4}[/tex]Step 3: Division Propert