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-7x⁸ + 5x⁷ - 11x + 2

Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve

Now, for the given we have:
(5x⁷ - 8x + 2) - (7x⁸ + 3x)

First, we will get rid of the brackets based on the above rules. This will give us:
5x⁷ - 8x + 2 - 7x⁸ - 3x

Next, we will combine like terms as follows:
5x⁷ + (-8-3) x - 7x⁸ + 2

This will give us the final expression:
-7x⁸ + 5x⁷ - 11x + 2

Hope this helps :)