(X-2)(x-6)=2x-13

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Solution for (X-2)(x-6)=2x-13 equation: 


Simplifying
(X + -2)(x + -6) = 2x + -13

Reorder the terms:
(-2 + X)(x + -6) = 2x + -13

Reorder the terms:
(-2 + X)(-6 + x) = 2x + -13

Multiply (-2 + X) * (-6 + x)
(-2(-6 + x) + X(-6 + x)) = 2x + -13
((-6 * -2 + x * -2) + X(-6 + x)) = 2x + -13
((12 + -2x) + X(-6 + x)) = 2x + -13
(12 + -2x + (-6 * X + x * X)) = 2x + -13
(12 + -2x + (-6X + xX)) = 2x + -13

Reorder the terms:
(12 + -6X + -2x + xX) = 2x + -13
(12 + -6X + -2x + xX) = 2x + -13

Reorder the terms:
12 + -6X + -2x + xX = -13 + 2x

Solving
12 + -6X + -2x + xX = -13 + 2x

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -6X + -2x + -12 + xX = -13 + -12 + 2x

Reorder the terms:
12 + -12 + -6X + -2x + xX = -13 + -12 + 2x

Combine like terms: 12 + -12 = 0
0 + -6X + -2x + xX = -13 + -12 + 2x
-6X + -2x + xX = -13 + -12 + 2x

Combine like terms: -13 + -12 = -25
-6X + -2x + xX = -25 + 2x

Add '2x' to each side of the equation.
-6X + -2x + 2x + xX = -25 + 2x + 2x

Combine like terms: -2x + 2x = 0
-6X + 0 + xX = -25 + 2x + 2x
-6X + xX = -25 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-6X + xX = -25 + 4x

Reorder the terms:
25 + -6X + -4x + xX = -25 + 4x + 25 + -4x

Reorder the terms:
25 + -6X + -4x + xX = -25 + 25 + 4x + -4x

Combine like terms: -25 + 25 = 0
25 + -6X + -4x + xX = 0 + 4x + -4x
25 + -6X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
25 + -6X + -4x + xX = 0

The solution to this equation could not be determined.

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