To solve this equation, we first need to find a common denominator for the fractions. In this case, the common denominator is 2x.

So, the equation becomes:

15/x + 17/2x = 1/2

Multiplying the first fraction by 2/2 and the second fraction by x/x to get a common denominator, we get:

(30/2x) + (17x/2x) = 1/2

From here, we can combine the fractions:

(30 + 17x) / 2x = 1/2

Now we can cross multiply:

2(30 + 17x) = 1(2x)

60 + 34x = 2x

Subtract 2x from both sides:

34x - 2x = 60

32x = 60

Divide by 32:

x = 60/32

x = 30/16

x = 15/8

Therefore, the solution to the equation is x = 15/8.