Given, diameter = 2*radius, we can then set them equal to each other using this simple formula.
Knowing that the radius is 3cm and 5x+1 is the diameter we then can say that:
2*3 = 5x + 1
2*radius = diameter
2*radius = diameter
Therefore, 6 = 5x +1
-1 -1 subtract by 1 on each side
5 = 5x
/5 = /5 divide by 5 on each side
1cm = x your solution