Question

An equation is shown below:

5x + 3(x - 5) = 6x + 2x-15

Part A: Solve the equation and write the number of solutions. Show all the steps.

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

Answer 1

PART A : All real numbers are solutions

PART B : Distributive property ; on 3(x - 5)

Explanation:

5x + 3(x - 5) = 6x + 2x - 15

5x + 3x - 15 = 6x + 2x - 15 [ distributive property on 3(x - 5)

- 15 + 15 = 6x + 2x - 5x - 3x

0 = 0 ; All real numbers are solutions

Distributive property on 3(x - 5)