(X-3)(x-4)=16-7x

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Solution for (X-3)(x-4)=16-7x equation: 


Simplifying
(X + -3)(x + -4) = 16 + -7x

Reorder the terms:
(-3 + X)(x + -4) = 16 + -7x

Reorder the terms:
(-3 + X)(-4 + x) = 16 + -7x

Multiply (-3 + X) * (-4 + x)
(-3(-4 + x) + X(-4 + x)) = 16 + -7x
((-4 * -3 + x * -3) + X(-4 + x)) = 16 + -7x
((12 + -3x) + X(-4 + x)) = 16 + -7x
(12 + -3x + (-4 * X + x * X)) = 16 + -7x
(12 + -3x + (-4X + xX)) = 16 + -7x

Reorder the terms:
(12 + -4X + -3x + xX) = 16 + -7x
(12 + -4X + -3x + xX) = 16 + -7x

Solving
12 + -4X + -3x + xX = 16 + -7x

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 = 16 + -12 + -7x

Reorder the terms:
12 + -12 + -4X + -3x + xX = 16 + -12 + -7x

Combine like terms: 12 + -12 = 0
0 + -4X + -3x + xX = 16 + -12 + -7x
-4X + -3x + xX = 16 + -12 + -7x

Combine like terms: 16 + -12 = 4
-4X + -3x + xX = 4 + -7x

Add '3x' to each side of the equation.
-4X + -3x + 3x + xX = 4 + -7x + 3x

Combine like terms: -3x + 3x = 0
-4X + 0 + xX = 4 + -7x + 3x
-4X + xX = 4 + -7x + 3x

Combine like terms: -7x + 3x = -4x
-4X + xX = 4 + -4x

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

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

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

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

The solution to this equation could not be determined.

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