5-x(x+3)=-(x+5)(x+1)

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Solution for 5-x(x+3)=-(x+5)(x+1) equation: 


Simplifying
5 + -1x(x + 3) = -1(x + 5)(x + 1)

Reorder the terms:
5 + -1x(3 + x) = -1(x + 5)(x + 1)
5 + (3 * -1x + x * -1x) = -1(x + 5)(x + 1)
5 + (-3x + -1x2) = -1(x + 5)(x + 1)

Reorder the terms:
5 + -3x + -1x2 = -1(5 + x)(x + 1)

Reorder the terms:
5 + -3x + -1x2 = -1(5 + x)(1 + x)

Multiply (5 + x) * (1 + x)
5 + -3x + -1x2 = -1(5(1 + x) + x(1 + x))
5 + -3x + -1x2 = -1((1 * 5 + x * 5) + x(1 + x))
5 + -3x + -1x2 = -1((5 + 5x) + x(1 + x))
5 + -3x + -1x2 = -1(5 + 5x + (1 * x + x * x))
5 + -3x + -1x2 = -1(5 + 5x + (1x + x2))

Combine like terms: 5x + 1x = 6x
5 + -3x + -1x2 = -1(5 + 6x + x2)
5 + -3x + -1x2 = (5 * -1 + 6x * -1 + x2 * -1)
5 + -3x + -1x2 = (-5 + -6x + -1x2)

Add 'x2' to each side of the equation.
5 + -3x + -1x2 + x2 = -5 + -6x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + -3x + 0 = -5 + -6x + -1x2 + x2
5 + -3x = -5 + -6x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + -3x = -5 + -6x + 0
5 + -3x = -5 + -6x

Solving
5 + -3x = -5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + -3x + 6x = -5 + -6x + 6x

Combine like terms: -3x + 6x = 3x
5 + 3x = -5 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 3x = -5 + 0
5 + 3x = -5

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

Combine like terms: 5 + -5 = 0
0 + 3x = -5 + -5
3x = -5 + -5

Combine like terms: -5 + -5 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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