### Home > CC4 > Chapter 3 > Lesson 3.3.1 > Problem 3-114

3-114.

Now David wants to solve the equation

What easier equation could he solve instead that would give him the same solution? (In other words, what equivalent equation has easier numbers to work with?)

Divide both sides of the equation by a common factor.

*x* − 2 = 4

Justify that your equation in part (a) is equivalent to

by showing that they have the same solution.

Solve both equations for

*x*.

*x*− 2 = 4 4000*x*− 8000 = 16000

*x*= 6 4000*x*= 24000

*x*= 6

The equations have the same answer.

David’s last equation to solve is

. Write and solve an equivalent equation with easier numbers that would give him the same answer.

Multiple both sides of the equation by 100.