To solve this equation, we need to isolate the variable x.

First, let's add the fractions on the left side of the equation:

5 16/29 can be written as an improper fraction: (29*5 + 16)/29 = 145 + 16/29 = 161/29

So, the equation becomes:
161/29 + x = 6 11/29

Next, we need to convert the mixed number on the right side of the equation to an improper fraction:

6 11/29 = (29*6 + 11)/29 = 174 + 11/29 = 185/29

Now our equation is:
161/29 + x = 185/29

To isolate x, we need to subtract 161/29 from both sides of the equation:

x = 185/29 - 161/29
x = 24/29

Therefore, the solution to the equation is:
x = 24/29