(X+5)(x-4)=(2x+6)(x-4)

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Solution for (X+5)(x-4)=(2x+6)(x-4) equation: 


Simplifying
(X + 5)(x + -4) = (2x + 6)(x + -4)

Reorder the terms:
(5 + X)(x + -4) = (2x + 6)(x + -4)

Reorder the terms:
(5 + X)(-4 + x) = (2x + 6)(x + -4)

Multiply (5 + X) * (-4 + x)
(5(-4 + x) + X(-4 + x)) = (2x + 6)(x + -4)
((-4 * 5 + x * 5) + X(-4 + x)) = (2x + 6)(x + -4)
((-20 + 5x) + X(-4 + x)) = (2x + 6)(x + -4)
(-20 + 5x + (-4 * X + x * X)) = (2x + 6)(x + -4)
(-20 + 5x + (-4X + xX)) = (2x + 6)(x + -4)

Reorder the terms:
(-20 + -4X + 5x + xX) = (2x + 6)(x + -4)
(-20 + -4X + 5x + xX) = (2x + 6)(x + -4)

Reorder the terms:
-20 + -4X + 5x + xX = (6 + 2x)(x + -4)

Reorder the terms:
-20 + -4X + 5x + xX = (6 + 2x)(-4 + x)

Multiply (6 + 2x) * (-4 + x)
-20 + -4X + 5x + xX = (6(-4 + x) + 2x * (-4 + x))
-20 + -4X + 5x + xX = ((-4 * 6 + x * 6) + 2x * (-4 + x))
-20 + -4X + 5x + xX = ((-24 + 6x) + 2x * (-4 + x))
-20 + -4X + 5x + xX = (-24 + 6x + (-4 * 2x + x * 2x))
-20 + -4X + 5x + xX = (-24 + 6x + (-8x + 2x2))

Combine like terms: 6x + -8x = -2x
-20 + -4X + 5x + xX = (-24 + -2x + 2x2)

Solving
-20 + -4X + 5x + xX = -24 + -2x + 2x2

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + -4X + 5x + 20 + xX = -24 + -2x + 20 + 2x2

Reorder the terms:
-20 + 20 + -4X + 5x + xX = -24 + -2x + 20 + 2x2

Combine like terms: -20 + 20 = 0
0 + -4X + 5x + xX = -24 + -2x + 20 + 2x2
-4X + 5x + xX = -24 + -2x + 20 + 2x2

Reorder the terms:
-4X + 5x + xX = -24 + 20 + -2x + 2x2

Combine like terms: -24 + 20 = -4
-4X + 5x + xX = -4 + -2x + 2x2

Add '-5x' to each side of the equation.
-4X + 5x + -5x + xX = -4 + -2x + -5x + 2x2

Combine like terms: 5x + -5x = 0
-4X + 0 + xX = -4 + -2x + -5x + 2x2
-4X + xX = -4 + -2x + -5x + 2x2

Combine like terms: -2x + -5x = -7x
-4X + xX = -4 + -7x + 2x2

Reorder the terms:
4 + -4X + 7x + xX + -2x2 = -4 + -7x + 2x2 + 4 + 7x + -2x2

Reorder the terms:
4 + -4X + 7x + xX + -2x2 = -4 + 4 + -7x + 7x + 2x2 + -2x2

Combine like terms: -4 + 4 = 0
4 + -4X + 7x + xX + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
4 + -4X + 7x + xX + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
4 + -4X + 7x + xX + -2x2 = 0 + 2x2 + -2x2
4 + -4X + 7x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -4X + 7x + xX + -2x2 = 0

The solution to this equation could not be determined.

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