Question

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

Answer 1

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