Half the sum of a number and 26 is 15. What is the numebr?

Let's denote the number as "x".

According to the problem, the equation can be written as:
(1/2)x + 26 = 15

To solve for x, we need to get rid of the 26 on the left side. We can do this by subtracting 26 from both sides of the equation:

(1/2)x = 15 - 26
(1/2)x = -11

Next, we can multiply both sides of the equation by 2 to eliminate the fraction:

2 * (1/2)x = 2 * -11
x = -22

Therefore, the number is -22.