(x-2)2-6(x-2)+5=0

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Solution for (x-2)2-6(x-2)+5=0 equation: 


Simplifying
(x + -2) * 2 + -6(x + -2) + 5 = 0

Reorder the terms:
(-2 + x) * 2 + -6(x + -2) + 5 = 0

Reorder the terms for easier multiplication:
2(-2 + x) + -6(x + -2) + 5 = 0
(-2 * 2 + x * 2) + -6(x + -2) + 5 = 0
(-4 + 2x) + -6(x + -2) + 5 = 0

Reorder the terms:
-4 + 2x + -6(-2 + x) + 5 = 0
-4 + 2x + (-2 * -6 + x * -6) + 5 = 0
-4 + 2x + (12 + -6x) + 5 = 0

Reorder the terms:
-4 + 12 + 5 + 2x + -6x = 0

Combine like terms: -4 + 12 = 8
8 + 5 + 2x + -6x = 0

Combine like terms: 8 + 5 = 13
13 + 2x + -6x = 0

Combine like terms: 2x + -6x = -4x
13 + -4x = 0

Solving
13 + -4x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 0 + -13
-4x = 0 + -13

Combine like terms: 0 + -13 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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