An equation is shown below:

Question

4x + 2(x − 3) = 4x + 2x − 11

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. (4 points)
Explain in 1 sentence

Answer 1

Part A:

4x + 2(x - 3) = 4x + 2x - 11
4x + 2x - 6 = 4x + 2x - 11
6x - 6 = 6x - 11
6x - 6x = -11 + 6
0 = -5

Since 0 is not equal to -5, the equation has no solutions.

Part B:

One property used to solve this equation is the Distributive Property, where we distributed the coefficient 2 to both terms inside the parentheses on the left side of the equation.