X^2-2X+3=X^2-X+4

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Solution for X^2-2X+3=X^2-X+4 equation:


Simplifying
X2 + -2X + 3 = X2 + -1X + 4

Reorder the terms:
3 + -2X + X2 = X2 + -1X + 4

Reorder the terms:
3 + -2X + X2 = 4 + -1X + X2

Add '-1X2' to each side of the equation.
3 + -2X + X2 + -1X2 = 4 + -1X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
3 + -2X + 0 = 4 + -1X + X2 + -1X2
3 + -2X = 4 + -1X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
3 + -2X = 4 + -1X + 0
3 + -2X = 4 + -1X

Solving
3 + -2X = 4 + -1X

Solving for variable 'X'.

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

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

Combine like terms: -2X + X = -1X
3 + -1X = 4 + -1X + X

Combine like terms: -1X + X = 0
3 + -1X = 4 + 0
3 + -1X = 4

Add '-3' to each side of the equation.
3 + -3 + -1X = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 4 + -3
-1X = 4 + -3

Combine like terms: 4 + -3 = 1
-1X = 1

Divide each side by '-1'.
X = -1

Simplifying
X = -1

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