### Home > CAAC > Chapter 10 > Lesson 10.1.1 > Problem10-8

10-8.

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

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

Solve both equations for $x$.
$x+3=5$                      $100x+300=500$
$x=2$                              $100x=200$
$x=2$

They have the same solution.

2. What could you do to the equation $100x+300=500$ to change it into $x+3=5$?

• Is there a common factor in the first equation?