### Home > MC2 > Chapter 5 > Lesson 5.2.2 > Problem 5-56

5-56.

Reducing by 3 means you first need to subtract 3 from a number. We will call this unknown number *x*. Then you will multiply that value by 2.

A number reduced by 3: (*x* − 3)

Then multiplied by 2: 2(*x* − 3)

Use the Distributive Property to multiply every term inside the parentheses by 2.

2*x* − 6

See part (a).

Ten times a number is 10x. Then add twenty to that to get: 10*x* + 20

Since 10 is a factor of both terms, we can factor out a 10 to get the following expression: 10(*x* + 2)

Check your answer by using the Distributive Property.