x^2-4*x+8=x^2-16

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Solution for x^2-4*x+8=x^2-16 equation: 


Simplifying
x2 + -4x + 8 = x2 + -16

Reorder the terms:
8 + -4x + x2 = x2 + -16

Reorder the terms:
8 + -4x + x2 = -16 + x2

Add '-1x2' to each side of the equation.
8 + -4x + x2 + -1x2 = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -4x + 0 = -16 + x2 + -1x2
8 + -4x = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -4x = -16 + 0
8 + -4x = -16

Solving
8 + -4x = -16

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -4x = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -16 + -8
-4x = -16 + -8

Combine like terms: -16 + -8 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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