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

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


Simplifying
X + -1(x + 4)(x + -2) = 8 + (x + 5)

Reorder the terms:
X + -1(4 + x)(x + -2) = 8 + (x + 5)

Reorder the terms:
X + -1(4 + x)(-2 + x) = 8 + (x + 5)

Multiply (4 + x) * (-2 + x)
X + -1(4(-2 + x) + x(-2 + x)) = 8 + (x + 5)
X + -1((-2 * 4 + x * 4) + x(-2 + x)) = 8 + (x + 5)
X + -1((-8 + 4x) + x(-2 + x)) = 8 + (x + 5)
X + -1(-8 + 4x + (-2 * x + x * x)) = 8 + (x + 5)
X + -1(-8 + 4x + (-2x + x2)) = 8 + (x + 5)

Combine like terms: 4x + -2x = 2x
X + -1(-8 + 2x + x2) = 8 + (x + 5)
X + (-8 * -1 + 2x * -1 + x2 * -1) = 8 + (x + 5)
X + (8 + -2x + -1x2) = 8 + (x + 5)

Reorder the terms:
8 + X + -2x + -1x2 = 8 + (x + 5)

Reorder the terms:
8 + X + -2x + -1x2 = 8 + (5 + x)

Remove parenthesis around (5 + x)
8 + X + -2x + -1x2 = 8 + 5 + x

Combine like terms: 8 + 5 = 13
8 + X + -2x + -1x2 = 13 + x

Solving
8 + X + -2x + -1x2 = 13 + x

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + X + -2x + -8 + -1x2 = 13 + -8 + x

Reorder the terms:
8 + -8 + X + -2x + -1x2 = 13 + -8 + x

Combine like terms: 8 + -8 = 0
0 + X + -2x + -1x2 = 13 + -8 + x
X + -2x + -1x2 = 13 + -8 + x

Combine like terms: 13 + -8 = 5
X + -2x + -1x2 = 5 + x

Add '2x' to each side of the equation.
X + -2x + 2x + -1x2 = 5 + x + 2x

Combine like terms: -2x + 2x = 0
X + 0 + -1x2 = 5 + x + 2x
X + -1x2 = 5 + x + 2x

Combine like terms: x + 2x = 3x
X + -1x2 = 5 + 3x

Add 'x2' to each side of the equation.
X + -1x2 + x2 = 5 + 3x + x2

Combine like terms: -1x2 + x2 = 0
X + 0 = 5 + 3x + x2
X = 5 + 3x + x2

Simplifying
X = 5 + 3x + x2

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