x^2-6x=8x+x^2

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Solution for x^2-6x=8x+x^2 equation:


Simplifying
x2 + -6x = 8x + x2

Reorder the terms:
-6x + x2 = 8x + x2

Add '-1x2' to each side of the equation.
-6x + x2 + -1x2 = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6x + 0 = 8x + x2 + -1x2
-6x = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6x = 8x + 0
-6x = 8x

Solving
-6x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6x + -8x = 8x + -8x

Combine like terms: -6x + -8x = -14x
-14x = 8x + -8x

Combine like terms: 8x + -8x = 0
-14x = 0

Divide each side by '-14'.
x = 0

Simplifying
x = 0

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