"subtracting 6x^3 -2x+3 from -3x^3+5x^2-7" could be rewritten as:
-3x^3+5x^2-7
-(6x^3 -2x+3)
which, in turn, becomes:
-3x^3+5x^2-7
-6x^3 +2x-3
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-9x^3 + 5x^2 + 2x - 10 (answer)
Here we have rewritten the problem in proper order: -3x^3+5x^2-7 comes first and the expression to be subtracted (6x^3 -2x+3) comes second. Then the parentheses are removed. The various powers of x (x^3, x^2, x, c) are lined up vertically, and then each such column summed up.