(X-3)(x-4)=(3x-19)

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Solution for (X-3)(x-4)=(3x-19) equation: 


Simplifying
(X + -3)(x + -4) = (3x + -19)

Reorder the terms:
(-3 + X)(x + -4) = (3x + -19)

Reorder the terms:
(-3 + X)(-4 + x) = (3x + -19)

Multiply (-3 + X) * (-4 + x)
(-3(-4 + x) + X(-4 + x)) = (3x + -19)
((-4 * -3 + x * -3) + X(-4 + x)) = (3x + -19)
((12 + -3x) + X(-4 + x)) = (3x + -19)
(12 + -3x + (-4 * X + x * X)) = (3x + -19)
(12 + -3x + (-4X + xX)) = (3x + -19)

Reorder the terms:
(12 + -4X + -3x + xX) = (3x + -19)
(12 + -4X + -3x + xX) = (3x + -19)

Reorder the terms:
12 + -4X + -3x + xX = (-19 + 3x)

Remove parenthesis around (-19 + 3x)
12 + -4X + -3x + xX = -19 + 3x

Solving
12 + -4X + -3x + xX = -19 + 3x

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 + -4X + -3x + -12 + xX = -19 + -12 + 3x

Reorder the terms:
12 + -12 + -4X + -3x + xX = -19 + -12 + 3x

Combine like terms: 12 + -12 = 0
0 + -4X + -3x + xX = -19 + -12 + 3x
-4X + -3x + xX = -19 + -12 + 3x

Combine like terms: -19 + -12 = -31
-4X + -3x + xX = -31 + 3x

Add '3x' to each side of the equation.
-4X + -3x + 3x + xX = -31 + 3x + 3x

Combine like terms: -3x + 3x = 0
-4X + 0 + xX = -31 + 3x + 3x
-4X + xX = -31 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-4X + xX = -31 + 6x

Reorder the terms:
31 + -4X + -6x + xX = -31 + 6x + 31 + -6x

Reorder the terms:
31 + -4X + -6x + xX = -31 + 31 + 6x + -6x

Combine like terms: -31 + 31 = 0
31 + -4X + -6x + xX = 0 + 6x + -6x
31 + -4X + -6x + xX = 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -4X + -6x + xX = 0

The solution to this equation could not be determined.

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