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x^{2}+4x+3-x^{2}-2x=15
Combine x and 3x to get 4x.
4x+3-2x=15
Combine x^{2} and -x^{2} to get 0.
2x+3=15
Combine 4x and -2x to get 2x.
2x=15-3
Subtract 3 from both sides.
2x=12
Subtract 3 from 15 to get 12.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.