To solve this equation, we can first combine the like terms on the left side of the equation.

X + 4/x - 4 + x - 4/x + 4 = 10/3

Simplify each side by combining like terms:

2x + 4/x = 10/3

To get rid of the fraction on the left side, we can multiply both sides by 3x:

3x(2x + 4/x) = 3x(10/3)

Expand and simplify both sides:

6x^2 + 12 = 10x

Rearrange the terms to get the equation in standard form:

6x^2 - 10x + 12 = 0

Now we have a quadratic equation. We can solve for x by using the quadratic formula:

x = [-(-10) ± √((-10)^2 - 4612)] / 2*6
x = [10 ± √(100 - 288)] / 12
x = [10 ± √(-188)] / 12
x = [10 ± 2√47 i] / 12
x = (5 ± √47 i) / 6

Therefore, the solutions to the equation are:

x = (5 + √47 i) / 6 and x = (5 - √47 i) / 6