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5x^{3}-11x+14-\left(-3x^{3}+6x^{3}-5x^{2}-8x+6\right)
Combine 7x^{3} and -2x^{3} to get 5x^{3}.
5x^{3}-11x+14-\left(3x^{3}-5x^{2}-8x+6\right)
Combine -3x^{3} and 6x^{3} to get 3x^{3}.
5x^{3}-11x+14-3x^{3}+5x^{2}+8x-6
To find the opposite of 3x^{3}-5x^{2}-8x+6, find the opposite of each term.
2x^{3}-11x+14+5x^{2}+8x-6
Combine 5x^{3} and -3x^{3} to get 2x^{3}.
2x^{3}-3x+14+5x^{2}-6
Combine -11x and 8x to get -3x.
2x^{3}-3x+8+5x^{2}
Subtract 6 from 14 to get 8.
5x^{3}-11x+14-\left(-3x^{3}+6x^{3}-5x^{2}-8x+6\right)
Combine 7x^{3} and -2x^{3} to get 5x^{3}.
5x^{3}-11x+14-\left(3x^{3}-5x^{2}-8x+6\right)
Combine -3x^{3} and 6x^{3} to get 3x^{3}.
5x^{3}-11x+14-3x^{3}+5x^{2}+8x-6
To find the opposite of 3x^{3}-5x^{2}-8x+6, find the opposite of each term.
2x^{3}-11x+14+5x^{2}+8x-6
Combine 5x^{3} and -3x^{3} to get 2x^{3}.
2x^{3}-3x+14+5x^{2}-6
Combine -11x and 8x to get -3x.
2x^{3}-3x+8+5x^{2}
Subtract 6 from 14 to get 8.