Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)

Step-by-step explanation:

The given equation is expressed as

4(x + 5) = 9x + 4x − 34

We would apply the distributive property to the left hand side of the equation because of the bracket. By applying this property, we would multiply each term inside the bracket by the term outside and add. The left hand side of the equation becomes

4x + 20 = 9x + 4x − 34

The next step is to collect like terms. We would let the constants be on the right hand side and the terms containing the variable be on the left hand side. It becomes

4x - 9x - 4x = - 34 - 20

- 9x = - 54

Dividing both sides of the equation by - 9, it becomes

-9x/-9 = - 54/- 9

x = 6