x^2+x=x^2-5x+6

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Solution for x^2+x=x^2-5x+6 equation:


Simplifying
x2 + x = x2 + -5x + 6

Reorder the terms:
x + x2 = x2 + -5x + 6

Reorder the terms:
x + x2 = 6 + -5x + x2

Add '-1x2' to each side of the equation.
x + x2 + -1x2 = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
x + 0 = 6 + -5x + x2 + -1x2
x = 6 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
x = 6 + -5x + 0
x = 6 + -5x

Solving
x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
x + 5x = 6 + -5x + 5x

Combine like terms: x + 5x = 6x
6x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
6x = 6 + 0
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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