To solve this problem, we need to determine the value of x, which represents the number of additional stamps Margaret collected each day.
Let's break down the information given:
Number of stamps collected on the first day: 8
Number of consecutive days: 5
Average number of stamps collected per day: 24
We can set up the equation as follows:
(8 + (8 + x) + (8 + 2x) + (8 + 3x) + (8 + 4x))/5 = 24
Let's simplify and solve for x:
(8 + 8 + x + 8 + 2x + 8 + 3x + 8 + 4x)/5 = 24
(40 + 10x)/5 = 24
To isolate x, we multiply both sides of the equation by 5:
40 + 10x = 120
To isolate x, we subtract 40 from both sides of the equation:
40 + 10x - 40 = 120 - 40
10x = 80
To solve for x, we divide both sides of the equation by 10:
x = 80 / 10
x = 8
The value of x is 8.
The answer is: 8
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Margaret started a stamp collection. She collected 8 stamps the first day. Each subsequent day she collected X more stamps than she had collected the previous day. If she collected stamps for 5 consecutive days, The average number of stamps collected per day was 24. What is the value of unknown variable X?

### Answer:
