Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
When sales representatives for a pharmaceutical company drive to​ out-of-town meetings that require an overnight​ stay, they receive ​$160 for lodging plus ​$0.50 per mile driven. How many miles did Joe drive if his company reimbursed him ​$265 for an overnight​ trip?

The equation is ____. Joe drove ____ miles.