(x-4)2=x

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Solution for (x-4)2=x equation:


Simplifying
(x + -4) * 2 = x

Reorder the terms:
(-4 + x) * 2 = x

Reorder the terms for easier multiplication:
2(-4 + x) = x
(-4 * 2 + x * 2) = x
(-8 + 2x) = x

Solving
-8 + 2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 1x = x + -1x

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

Add '8' to each side of the equation.
-8 + 8 + 1x = 0 + 8

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

Combine like terms: 0 + 8 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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