No, 6x^3 and 2x^2 are not like terms. So you cannot add them. So it doesn't make sense to stack the two vertically.
(6x^3 -5x -4) - (2x^2 - 8x + 3) ... Start with the given expression
6x^3 -5x -4 -2x^2 + 8x - 3 ... Distribute.
6x^3 +0x^2-5x -4 -2x^2 + 8x - 3 ... Add a 0x^2 term in between the first two terms.
Now stack the first four terms over the last three.
6x^3+0x^2 -5x -4
-2x^2 +8x -3
Now simply add the terms that line up. I'll let you do that.