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. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answer 1

Leftside: 5x + 3x - 15 = 8x - 15

Rightside: 8x - 15

They are exactly the same.

This means x can be any real number, i.e. infinite solutions.

I'm not really sure about the property, but combining like terms and comparison are the basic tools.