(x+8)(x+1)=(x+5)(x-3)

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Solution for (x+8)(x+1)=(x+5)(x-3) equation: 


Simplifying
(x + 8)(x + 1) = (x + 5)(x + -3)

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

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

Multiply (8 + x) * (1 + x)
(8(1 + x) + x(1 + x)) = (x + 5)(x + -3)
((1 * 8 + x * 8) + x(1 + x)) = (x + 5)(x + -3)
((8 + 8x) + x(1 + x)) = (x + 5)(x + -3)
(8 + 8x + (1 * x + x * x)) = (x + 5)(x + -3)
(8 + 8x + (1x + x2)) = (x + 5)(x + -3)

Combine like terms: 8x + 1x = 9x
(8 + 9x + x2) = (x + 5)(x + -3)

Reorder the terms:
8 + 9x + x2 = (5 + x)(x + -3)

Reorder the terms:
8 + 9x + x2 = (5 + x)(-3 + x)

Multiply (5 + x) * (-3 + x)
8 + 9x + x2 = (5(-3 + x) + x(-3 + x))
8 + 9x + x2 = ((-3 * 5 + x * 5) + x(-3 + x))
8 + 9x + x2 = ((-15 + 5x) + x(-3 + x))
8 + 9x + x2 = (-15 + 5x + (-3 * x + x * x))
8 + 9x + x2 = (-15 + 5x + (-3x + x2))

Combine like terms: 5x + -3x = 2x
8 + 9x + x2 = (-15 + 2x + x2)

Add '-1x2' to each side of the equation.
8 + 9x + x2 + -1x2 = -15 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 9x + 0 = -15 + 2x + x2 + -1x2
8 + 9x = -15 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 9x = -15 + 2x + 0
8 + 9x = -15 + 2x

Solving
8 + 9x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 9x + -2x = -15 + 2x + -2x

Combine like terms: 9x + -2x = 7x
8 + 7x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 7x = -15 + 0
8 + 7x = -15

Add '-8' to each side of the equation.
8 + -8 + 7x = -15 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -15 + -8
7x = -15 + -8

Combine like terms: -15 + -8 = -23
7x = -23

Divide each side by '7'.
x = -3.285714286

Simplifying
x = -3.285714286

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