X-[2x(x+4)]=x+5

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


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

Reorder the terms:
X + -1[2x(4 + x)] = x + 5
X + -1[(4 * 2x + x * 2x)] = x + 5
X + -1[(8x + 2x2)] = x + 5
X + [8x * -1 + 2x2 * -1] = x + 5
X + [-8x + -2x2] = x + 5

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

Solving
X + -8x + -2x2 = 5 + x

Solving for variable 'X'.

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

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

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

Combine like terms: x + 8x = 9x
X + -2x2 = 5 + 9x

Add '2x2' to each side of the equation.
X + -2x2 + 2x2 = 5 + 9x + 2x2

Combine like terms: -2x2 + 2x2 = 0
X + 0 = 5 + 9x + 2x2
X = 5 + 9x + 2x2

Simplifying
X = 5 + 9x + 2x2

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