To solve this equation, we need to first simplify the left side by finding a common denominator:

X - 2.4/x + 3.2 = 2.88/3.84

Multiply the first fraction by 10 in both the numerator and denominator:

(10x - 24)/(10x + 32) = 2.88/3.84

Now, cross multiply:

(10x - 24)3.84 = 2.88(10x + 32)

38.4x - 92.16 = 28.8x + 92.16

Combine like terms:

38.4x - 28.8x = 92.16 + 92.16

9.6x = 184.32

Divide by 9.6 to solve for x:

x = 19.2

Therefore, the solution to the equation is x = 19.2.