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

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


Simplifying
x2 + x + -6 = x2 + -2x

Reorder the terms:
-6 + x + x2 = x2 + -2x

Reorder the terms:
-6 + x + x2 = -2x + x2

Add '-1x2' to each side of the equation.
-6 + x + x2 + -1x2 = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + x + 0 = -2x + x2 + -1x2
-6 + x = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + x = -2x + 0
-6 + x = -2x

Solving
-6 + x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + x + 2x = -2x + 2x

Combine like terms: x + 2x = 3x
-6 + 3x = -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 3x = 0

Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6

Combine like terms: 0 + 6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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