Consider the equation 5x−3=2.
a. (i) State the property of equality that permits the same number to be added to both sides of an equation.
b. (ii) Starting from 5x−3=2, solve for x, clearly mentioning the reason for each transformation you perform.
c. (iii) Substitute the value of x obtained in part (ii) into the original equation and show that both sides become equal.