x^2-2x+3=-4(x+2)+x^2

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Solution for x^2-2x+3=-4(x+2)+x^2 equation: 


Simplifying
x2 + -2x + 3 = -4(x + 2) + x2

Reorder the terms:
3 + -2x + x2 = -4(x + 2) + x2

Reorder the terms:
3 + -2x + x2 = -4(2 + x) + x2
3 + -2x + x2 = (2 * -4 + x * -4) + x2
3 + -2x + x2 = (-8 + -4x) + x2

Add '-1x2' to each side of the equation.
3 + -2x + x2 + -1x2 = -8 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x + 0 = -8 + -4x + x2 + -1x2
3 + -2x = -8 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + -2x = -8 + -4x + 0
3 + -2x = -8 + -4x

Solving
3 + -2x = -8 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
3 + -2x + 4x = -8 + -4x + 4x

Combine like terms: -2x + 4x = 2x
3 + 2x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 2x = -8 + 0
3 + 2x = -8

Add '-3' to each side of the equation.
3 + -3 + 2x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -8 + -3
2x = -8 + -3

Combine like terms: -8 + -3 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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