What is the justification for each step in the solution of the equation?

1.) 5x-4/2 = 2x-1

2.) 5x-4 = 2 (2x-1)

3.) 5x-4 = 4x - 2

4.) 5x = 4x+2

5.) x = 2

Step 1 : (5x-4) / 2 = 2x-1 [Given]

Step 2 : ((5x-4) / 2) * 2 = 2 * (2x-1) [Multiplicative Property of Equality i. e. by multiplying both sides of the equation by same number]

Step 3 : (5x-4) = 4x-2 [By Distributive Property]

Step 4 : 5x - 4 + 4 = 4x - 2 + 4 [By addition property of equality i. e. by adding both sides of the equation by same number]

⇒ 5x = 4x + 2

Step 5 : 5x - 4x = 4x + 2 - 4x [By subtraction property of equality i. e. by subtracting both sides of the equation by same number]

⇒ x = 2