Double a number increased by five is added to triple a number minus the same number.
Let's call the first number "x" and the second number "y".
"Double a number increased by five" can be written as 2x + 5.
"Triple a number minus the same number" can be written as 3y - y = 2y.
To find the expression for the entire statement, we can add the two expressions together:
2x + 5 + 2y.