x^2-x-6=x^2-6x+9

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Solution for x^2-x-6=x^2-6x+9 equation:


Simplifying
x2 + -1x + -6 = x2 + -6x + 9

Reorder the terms:
-6 + -1x + x2 = x2 + -6x + 9

Reorder the terms:
-6 + -1x + x2 = 9 + -6x + x2

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 = 9 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x + 0 = 9 + -6x + x2 + -1x2
-6 + -1x = 9 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x = 9 + -6x + 0
-6 + -1x = 9 + -6x

Solving
-6 + -1x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + -1x + 6x = 9 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-6 + 5x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

Add '6' to each side of the equation.
-6 + 6 + 5x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 9 + 6
5x = 9 + 6

Combine like terms: 9 + 6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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