Since 67 is a prime number, there are only 2 integer results we can have: 1 and 67.

To get 67, the denominator should be 1.

2x - 23 = 1

2x = 24

x=12

To get 1 as the integer result, the denominator should be 67.

2x - 23 = 67

2x = 90

x = 45

12 + 45 = 57