(6x2–5)+(–x2+8x+2).

Sure, let's solve the equation step by step:

1. First, let's rearrange the equation to group like terms together:

   (6x^2 - x^2) + (-5 + 8x + 2)

2. Then, subtract x^2 from 6x^2:

   5x^2 + (-5 + 8x + 2)

3. Next, simplify the terms within the parentheses:

   5x^2 + 8x - 3

So, the simplified form of the equation (6x^2–5)+(–x^2+8x+2) is 5x^2 + 8x - 3.