(X+5)(2x+8)=(x+4)(x-2)

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Solution for (X+5)(2x+8)=(x+4)(x-2) equation: 


Simplifying
(X + 5)(2x + 8) = (x + 4)(x + -2)

Reorder the terms:
(5 + X)(2x + 8) = (x + 4)(x + -2)

Reorder the terms:
(5 + X)(8 + 2x) = (x + 4)(x + -2)

Multiply (5 + X) * (8 + 2x)
(5(8 + 2x) + X(8 + 2x)) = (x + 4)(x + -2)
((8 * 5 + 2x * 5) + X(8 + 2x)) = (x + 4)(x + -2)
((40 + 10x) + X(8 + 2x)) = (x + 4)(x + -2)
(40 + 10x + (8 * X + 2x * X)) = (x + 4)(x + -2)
(40 + 10x + (8X + 2xX)) = (x + 4)(x + -2)

Reorder the terms:
(40 + 8X + 10x + 2xX) = (x + 4)(x + -2)
(40 + 8X + 10x + 2xX) = (x + 4)(x + -2)

Reorder the terms:
40 + 8X + 10x + 2xX = (4 + x)(x + -2)

Reorder the terms:
40 + 8X + 10x + 2xX = (4 + x)(-2 + x)

Multiply (4 + x) * (-2 + x)
40 + 8X + 10x + 2xX = (4(-2 + x) + x(-2 + x))
40 + 8X + 10x + 2xX = ((-2 * 4 + x * 4) + x(-2 + x))
40 + 8X + 10x + 2xX = ((-8 + 4x) + x(-2 + x))
40 + 8X + 10x + 2xX = (-8 + 4x + (-2 * x + x * x))
40 + 8X + 10x + 2xX = (-8 + 4x + (-2x + x2))

Combine like terms: 4x + -2x = 2x
40 + 8X + 10x + 2xX = (-8 + 2x + x2)

Solving
40 + 8X + 10x + 2xX = -8 + 2x + x2

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + 8X + 10x + -40 + 2xX = -8 + 2x + -40 + x2

Reorder the terms:
40 + -40 + 8X + 10x + 2xX = -8 + 2x + -40 + x2

Combine like terms: 40 + -40 = 0
0 + 8X + 10x + 2xX = -8 + 2x + -40 + x2
8X + 10x + 2xX = -8 + 2x + -40 + x2

Reorder the terms:
8X + 10x + 2xX = -8 + -40 + 2x + x2

Combine like terms: -8 + -40 = -48
8X + 10x + 2xX = -48 + 2x + x2

Add '-10x' to each side of the equation.
8X + 10x + -10x + 2xX = -48 + 2x + -10x + x2

Combine like terms: 10x + -10x = 0
8X + 0 + 2xX = -48 + 2x + -10x + x2
8X + 2xX = -48 + 2x + -10x + x2

Combine like terms: 2x + -10x = -8x
8X + 2xX = -48 + -8x + x2

Reorder the terms:
48 + 8X + 8x + 2xX + -1x2 = -48 + -8x + x2 + 48 + 8x + -1x2

Reorder the terms:
48 + 8X + 8x + 2xX + -1x2 = -48 + 48 + -8x + 8x + x2 + -1x2

Combine like terms: -48 + 48 = 0
48 + 8X + 8x + 2xX + -1x2 = 0 + -8x + 8x + x2 + -1x2
48 + 8X + 8x + 2xX + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
48 + 8X + 8x + 2xX + -1x2 = 0 + x2 + -1x2
48 + 8X + 8x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + 8X + 8x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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