Question

An equation is shown below:

12x + 3(x − 5) = 6x + 9x − 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation.

(less than 50 words for each and make it sound like a fifth grader)

Answer 1

Part A:
12x + 3(x - 5) = 6x + 9x - 15
12x + 3x - 15 = 6x + 9x - 15
15x - 15 = 15x - 15
0 = 0

This equation has infinitely many solutions because both sides are equal.

Part B:
I used the distributive property to simplify the equation by multiplying numbers outside the parentheses by each number inside the parentheses.