### Home > CC4 > Chapter 3 > Lesson 3.2.3 > Problem 3-105

3-105.

While David was solving the equation 100*x* + 300 = 500, he wondered if he could first change the equation to *x* + 3 = 5. What do you think? Homework Help ✎

Solve both equations and verify that they have the same solution.

Solve both equations for

*x*.

*x*+ 3 = 5 100*x*+ 300 = 500

*x*= 2 100*x*= 200

*x*= 2They have the same solution.

What could you do to the equation 100

*x*+ 300 = 500 to change it into*x*+ 3 = 5?

Is there a common factor in the first equation?