Based on your description that 13x-5 is inside the triangle, and next to one of the points, it appears that 13x-5 refers to the angle value.
Recall that for any equilateral triangle, the 3 angles are 60 degrees each (since 60+60+60 = 180 and all angles are congruent).
So we'll set 13x-5 equal to 60 and solve for x.
13x-5 = 60
13x = 60+5
13x = 65
x = 65/13
x = 5 is the final answer