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x^{2}+2-\left(x+3\right)\times 2x
Use the distributive property to multiply 1 by x^{2}+2.
x^{2}+2-\left(2x+6\right)x
Use the distributive property to multiply x+3 by 2.
x^{2}+2-\left(2x^{2}+6x\right)
Use the distributive property to multiply 2x+6 by x.
x^{2}+2-2x^{2}-6x
To find the opposite of 2x^{2}+6x, find the opposite of each term.
-x^{2}+2-6x
Combine x^{2} and -2x^{2} to get -x^{2}.
x^{2}+2-\left(x+3\right)\times 2x
Use the distributive property to multiply 1 by x^{2}+2.
x^{2}+2-\left(2x+6\right)x
Use the distributive property to multiply x+3 by 2.
x^{2}+2-\left(2x^{2}+6x\right)
Use the distributive property to multiply 2x+6 by x.
x^{2}+2-2x^{2}-6x
To find the opposite of 2x^{2}+6x, find the opposite of each term.
-x^{2}+2-6x
Combine x^{2} and -2x^{2} to get -x^{2}.