To solve the equation, we can start by getting rid of the fractions by multiplying every term by the least common denominator, which is 3x:

3x(x) + 3x(1/3) = (3)(x)(x) + (3)(1)

3x^2 + x = 3x^2 + 3

Next, we can simplify the equation by subtracting 3x^2 from both sides:

3x^2 - 3x^2 + x = 3x^2 - 3x^2 + 3

x = 3

Therefore, the solution to the equation is x = 3.