To solve this equation, we first need to simplify the expression on the left side:

(10x + 1)/6 = (4x + 1)/6

Next, we can multiply both sides of the equation by 6 to get rid of the denominators:

6(10x + 1)/6 = 6(4x + 1)/6
10x + 1 = 4x + 1

Now, we can subtract 1 from both sides and subtract 4x from both sides to isolate x:

10x - 4x = 1 - 1
6x = 0

Finally, divide both sides by 6 to solve for x:

x = 0

Therefore, the solution to the equation is x = 0.