(X-3)(x-5)=9(x-6)

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Solution for (X-3)(x-5)=9(x-6) equation: 


Simplifying
(X + -3)(x + -5) = 9(x + -6)

Reorder the terms:
(-3 + X)(x + -5) = 9(x + -6)

Reorder the terms:
(-3 + X)(-5 + x) = 9(x + -6)

Multiply (-3 + X) * (-5 + x)
(-3(-5 + x) + X(-5 + x)) = 9(x + -6)
((-5 * -3 + x * -3) + X(-5 + x)) = 9(x + -6)
((15 + -3x) + X(-5 + x)) = 9(x + -6)
(15 + -3x + (-5 * X + x * X)) = 9(x + -6)
(15 + -3x + (-5X + xX)) = 9(x + -6)

Reorder the terms:
(15 + -5X + -3x + xX) = 9(x + -6)
(15 + -5X + -3x + xX) = 9(x + -6)

Reorder the terms:
15 + -5X + -3x + xX = 9(-6 + x)
15 + -5X + -3x + xX = (-6 * 9 + x * 9)
15 + -5X + -3x + xX = (-54 + 9x)

Solving
15 + -5X + -3x + xX = -54 + 9x

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + -5X + -3x + -15 + xX = -54 + -15 + 9x

Reorder the terms:
15 + -15 + -5X + -3x + xX = -54 + -15 + 9x

Combine like terms: 15 + -15 = 0
0 + -5X + -3x + xX = -54 + -15 + 9x
-5X + -3x + xX = -54 + -15 + 9x

Combine like terms: -54 + -15 = -69
-5X + -3x + xX = -69 + 9x

Add '3x' to each side of the equation.
-5X + -3x + 3x + xX = -69 + 9x + 3x

Combine like terms: -3x + 3x = 0
-5X + 0 + xX = -69 + 9x + 3x
-5X + xX = -69 + 9x + 3x

Combine like terms: 9x + 3x = 12x
-5X + xX = -69 + 12x

Reorder the terms:
69 + -5X + -12x + xX = -69 + 12x + 69 + -12x

Reorder the terms:
69 + -5X + -12x + xX = -69 + 69 + 12x + -12x

Combine like terms: -69 + 69 = 0
69 + -5X + -12x + xX = 0 + 12x + -12x
69 + -5X + -12x + xX = 12x + -12x

Combine like terms: 12x + -12x = 0
69 + -5X + -12x + xX = 0

The solution to this equation could not be determined.

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