2x(x+3)+2(X+8)=(x+8)(x+3)

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Solution for 2x(x+3)+2(X+8)=(x+8)(x+3) equation: 


Simplifying
2x(x + 3) + 2(X + 8) = (x + 8)(x + 3)

Reorder the terms:
2x(3 + x) + 2(X + 8) = (x + 8)(x + 3)
(3 * 2x + x * 2x) + 2(X + 8) = (x + 8)(x + 3)
(6x + 2x2) + 2(X + 8) = (x + 8)(x + 3)

Reorder the terms:
6x + 2x2 + 2(8 + X) = (x + 8)(x + 3)
6x + 2x2 + (8 * 2 + X * 2) = (x + 8)(x + 3)
6x + 2x2 + (16 + 2X) = (x + 8)(x + 3)

Reorder the terms:
16 + 2X + 6x + 2x2 = (x + 8)(x + 3)

Reorder the terms:
16 + 2X + 6x + 2x2 = (8 + x)(x + 3)

Reorder the terms:
16 + 2X + 6x + 2x2 = (8 + x)(3 + x)

Multiply (8 + x) * (3 + x)
16 + 2X + 6x + 2x2 = (8(3 + x) + x(3 + x))
16 + 2X + 6x + 2x2 = ((3 * 8 + x * 8) + x(3 + x))
16 + 2X + 6x + 2x2 = ((24 + 8x) + x(3 + x))
16 + 2X + 6x + 2x2 = (24 + 8x + (3 * x + x * x))
16 + 2X + 6x + 2x2 = (24 + 8x + (3x + x2))

Combine like terms: 8x + 3x = 11x
16 + 2X + 6x + 2x2 = (24 + 11x + x2)

Solving
16 + 2X + 6x + 2x2 = 24 + 11x + x2

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + 2X + 6x + -16 + 2x2 = 24 + 11x + -16 + x2

Reorder the terms:
16 + -16 + 2X + 6x + 2x2 = 24 + 11x + -16 + x2

Combine like terms: 16 + -16 = 0
0 + 2X + 6x + 2x2 = 24 + 11x + -16 + x2
2X + 6x + 2x2 = 24 + 11x + -16 + x2

Reorder the terms:
2X + 6x + 2x2 = 24 + -16 + 11x + x2

Combine like terms: 24 + -16 = 8
2X + 6x + 2x2 = 8 + 11x + x2

Add '-6x' to each side of the equation.
2X + 6x + -6x + 2x2 = 8 + 11x + -6x + x2

Combine like terms: 6x + -6x = 0
2X + 0 + 2x2 = 8 + 11x + -6x + x2
2X + 2x2 = 8 + 11x + -6x + x2

Combine like terms: 11x + -6x = 5x
2X + 2x2 = 8 + 5x + x2

Add '-2x2' to each side of the equation.
2X + 2x2 + -2x2 = 8 + 5x + x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2X + 0 = 8 + 5x + x2 + -2x2
2X = 8 + 5x + x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
2X = 8 + 5x + -1x2

Divide each side by '2'.
X = 4 + 2.5x + -0.5x2

Simplifying
X = 4 + 2.5x + -0.5x2

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