Final answer:
Joan should add 2 to both sides and divide both sides by 5.
Step-by-step explanation:
To solve the equation 5x - 2 = 13 by using the addition and division properties of equality, Joan needs to add and divide both sides of the equation in the correct way.
In this case, Joan should add 2 to both sides of the equation, so it becomes 5x = 15. Then, Joan should divide both sides by 5, resulting in x = 3.