This problem can be interpreted different ways.
Here's how I interpret it:
Eight more than twice a number, increased by 3, is equal to 79. Find the number
Let n = the number
"Eight more": + 8
"Eight more than twice a number": 2n + 8
"Eight more than twice a number increased by 3": 2n + 8 + 3
"Eight more than twice a number increased by 3 is equal to 79.":
2n + 8 + 3 = 79
Now we solve the equation for n.
2n + 8 + 3 = 79
2n + 11 = 79
2n = 68
n = 34
The number is 34.