To solve this equation, we need to first simplify the left side by combining like terms:

X-6-2/2x^2-5x+2 = x/2x^2+5x-3

The left side becomes:

x - 6 - 1/x^2 - 5x + 2 = x/2x^2 + 5x - 3

Now, we need to combine like terms on the right side:

x - 6 - 1/x^2 - 5x + 2 = x/2x^2 + 5x - 3

This simplifies to:

-6 - 1/x^2 - 3x + 2 = 0.5 + 5x

Now we have:

-4 - 1/x^2 - 3x = 0.5 + 5x

Next, we can multiply each term by x^2 to get rid of the fractions:

-4x^2 - 1 - 3x^3 = 0.5x^2 + 5x^3

Simplify further:

-4x^2 - 1 - 3x^3 = 0.5x^2 + 5x^3

-5.5x^2 - 1 - 3x^3 - 5x^3 = 0

-8x^3 - 5.5x^2 - 1 = 0

This is a cubic equation that can be solved using numerical methods or factoring. Let me know if you need further assistance solving this equation.