(x-1)2-5=x

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Solution for (x-1)2-5=x equation:


Simplifying
(x + -1) * 2 + -5 = x

Reorder the terms:
(-1 + x) * 2 + -5 = x

Reorder the terms for easier multiplication:
2(-1 + x) + -5 = x
(-1 * 2 + x * 2) + -5 = x
(-2 + 2x) + -5 = x

Reorder the terms:
-2 + -5 + 2x = x

Combine like terms: -2 + -5 = -7
-7 + 2x = x

Solving
-7 + 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.
-7 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-7 + 1x = x + -1x

Combine like terms: x + -1x = 0
-7 + 1x = 0

Add '7' to each side of the equation.
-7 + 7 + 1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 0 + 7
1x = 0 + 7

Combine like terms: 0 + 7 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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