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2x^{2}+4x=2x^{2}+8
Use the distributive property to multiply 2x by x+2.
2x^{2}+4x-2x^{2}=8
Subtract 2x^{2} from both sides.
4x=8
Combine 2x^{2} and -2x^{2} to get 0.
x=\frac{8}{4}
Divide both sides by 4.
x=2
Divide 8 by 4 to get 2.