(X+2)(3x-6)=(x+1)(3x-4)

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Solution for (X+2)(3x-6)=(x+1)(3x-4) equation: 


Simplifying
(X + 2)(3x + -6) = (x + 1)(3x + -4)

Reorder the terms:
(2 + X)(3x + -6) = (x + 1)(3x + -4)

Reorder the terms:
(2 + X)(-6 + 3x) = (x + 1)(3x + -4)

Multiply (2 + X) * (-6 + 3x)
(2(-6 + 3x) + X(-6 + 3x)) = (x + 1)(3x + -4)
((-6 * 2 + 3x * 2) + X(-6 + 3x)) = (x + 1)(3x + -4)
((-12 + 6x) + X(-6 + 3x)) = (x + 1)(3x + -4)
(-12 + 6x + (-6 * X + 3x * X)) = (x + 1)(3x + -4)
(-12 + 6x + (-6X + 3xX)) = (x + 1)(3x + -4)

Reorder the terms:
(-12 + -6X + 6x + 3xX) = (x + 1)(3x + -4)
(-12 + -6X + 6x + 3xX) = (x + 1)(3x + -4)

Reorder the terms:
-12 + -6X + 6x + 3xX = (1 + x)(3x + -4)

Reorder the terms:
-12 + -6X + 6x + 3xX = (1 + x)(-4 + 3x)

Multiply (1 + x) * (-4 + 3x)
-12 + -6X + 6x + 3xX = (1(-4 + 3x) + x(-4 + 3x))
-12 + -6X + 6x + 3xX = ((-4 * 1 + 3x * 1) + x(-4 + 3x))
-12 + -6X + 6x + 3xX = ((-4 + 3x) + x(-4 + 3x))
-12 + -6X + 6x + 3xX = (-4 + 3x + (-4 * x + 3x * x))
-12 + -6X + 6x + 3xX = (-4 + 3x + (-4x + 3x2))

Combine like terms: 3x + -4x = -1x
-12 + -6X + 6x + 3xX = (-4 + -1x + 3x2)

Solving
-12 + -6X + 6x + 3xX = -4 + -1x + 3x2

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 + 6x + 12 + 3xX = -4 + -1x + 12 + 3x2

Reorder the terms:
-12 + 12 + -6X + 6x + 3xX = -4 + -1x + 12 + 3x2

Combine like terms: -12 + 12 = 0
0 + -6X + 6x + 3xX = -4 + -1x + 12 + 3x2
-6X + 6x + 3xX = -4 + -1x + 12 + 3x2

Reorder the terms:
-6X + 6x + 3xX = -4 + 12 + -1x + 3x2

Combine like terms: -4 + 12 = 8
-6X + 6x + 3xX = 8 + -1x + 3x2

Add '-6x' to each side of the equation.
-6X + 6x + -6x + 3xX = 8 + -1x + -6x + 3x2

Combine like terms: 6x + -6x = 0
-6X + 0 + 3xX = 8 + -1x + -6x + 3x2
-6X + 3xX = 8 + -1x + -6x + 3x2

Combine like terms: -1x + -6x = -7x
-6X + 3xX = 8 + -7x + 3x2

Reorder the terms:
-8 + -6X + 7x + 3xX + -3x2 = 8 + -7x + 3x2 + -8 + 7x + -3x2

Reorder the terms:
-8 + -6X + 7x + 3xX + -3x2 = 8 + -8 + -7x + 7x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + -6X + 7x + 3xX + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
-8 + -6X + 7x + 3xX + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
-8 + -6X + 7x + 3xX + -3x2 = 0 + 3x2 + -3x2
-8 + -6X + 7x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + -6X + 7x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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