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

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


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

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

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

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

Reorder the terms:
(-12 + -4X + 3x + xX) + (3 + -1x)(x + 4) = 4(2 + -1x)
(-12 + -4X + 3x + xX) + (3 + -1x)(x + 4) = 4(2 + -1x)

Reorder the terms:
-12 + -4X + 3x + xX + (3 + -1x)(4 + x) = 4(2 + -1x)

Multiply (3 + -1x) * (4 + x)
-12 + -4X + 3x + xX + (3(4 + x) + -1x * (4 + x)) = 4(2 + -1x)
-12 + -4X + 3x + xX + ((4 * 3 + x * 3) + -1x * (4 + x)) = 4(2 + -1x)
-12 + -4X + 3x + xX + ((12 + 3x) + -1x * (4 + x)) = 4(2 + -1x)
-12 + -4X + 3x + xX + (12 + 3x + (4 * -1x + x * -1x)) = 4(2 + -1x)
-12 + -4X + 3x + xX + (12 + 3x + (-4x + -1x2)) = 4(2 + -1x)

Combine like terms: 3x + -4x = -1x
-12 + -4X + 3x + xX + (12 + -1x + -1x2) = 4(2 + -1x)

Reorder the terms:
-12 + 12 + -4X + 3x + -1x + xX + -1x2 = 4(2 + -1x)

Combine like terms: -12 + 12 = 0
0 + -4X + 3x + -1x + xX + -1x2 = 4(2 + -1x)
-4X + 3x + -1x + xX + -1x2 = 4(2 + -1x)

Combine like terms: 3x + -1x = 2x
-4X + 2x + xX + -1x2 = 4(2 + -1x)
-4X + 2x + xX + -1x2 = (2 * 4 + -1x * 4)
-4X + 2x + xX + -1x2 = (8 + -4x)

Solving
-4X + 2x + xX + -1x2 = 8 + -4x

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
-4X + 2x + xX + -2x + -1x2 = 8 + -4x + -2x

Reorder the terms:
-4X + 2x + -2x + xX + -1x2 = 8 + -4x + -2x

Combine like terms: 2x + -2x = 0
-4X + 0 + xX + -1x2 = 8 + -4x + -2x
-4X + xX + -1x2 = 8 + -4x + -2x

Combine like terms: -4x + -2x = -6x
-4X + xX + -1x2 = 8 + -6x

Add 'x2' to each side of the equation.
-4X + xX + -1x2 + x2 = 8 + -6x + x2

Combine like terms: -1x2 + x2 = 0
-4X + xX + 0 = 8 + -6x + x2
-4X + xX = 8 + -6x + x2

Reorder the terms:
-8 + -4X + 6x + xX + -1x2 = 8 + -6x + x2 + -8 + 6x + -1x2

Reorder the terms:
-8 + -4X + 6x + xX + -1x2 = 8 + -8 + -6x + 6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + -4X + 6x + xX + -1x2 = 0 + -6x + 6x + x2 + -1x2
-8 + -4X + 6x + xX + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-8 + -4X + 6x + xX + -1x2 = 0 + x2 + -1x2
-8 + -4X + 6x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -4X + 6x + xX + -1x2 = 0

The solution to this equation could not be determined.

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