(x+9)(x+8)+1=(x+3)(x+9)

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Solution for (x+9)(x+8)+1=(x+3)(x+9) equation: 


Simplifying
(x + 9)(x + 8) + 1 = (x + 3)(x + 9)

Reorder the terms:
(9 + x)(x + 8) + 1 = (x + 3)(x + 9)

Reorder the terms:
(9 + x)(8 + x) + 1 = (x + 3)(x + 9)

Multiply (9 + x) * (8 + x)
(9(8 + x) + x(8 + x)) + 1 = (x + 3)(x + 9)
((8 * 9 + x * 9) + x(8 + x)) + 1 = (x + 3)(x + 9)
((72 + 9x) + x(8 + x)) + 1 = (x + 3)(x + 9)
(72 + 9x + (8 * x + x * x)) + 1 = (x + 3)(x + 9)
(72 + 9x + (8x + x2)) + 1 = (x + 3)(x + 9)

Combine like terms: 9x + 8x = 17x
(72 + 17x + x2) + 1 = (x + 3)(x + 9)

Reorder the terms:
72 + 1 + 17x + x2 = (x + 3)(x + 9)

Combine like terms: 72 + 1 = 73
73 + 17x + x2 = (x + 3)(x + 9)

Reorder the terms:
73 + 17x + x2 = (3 + x)(x + 9)

Reorder the terms:
73 + 17x + x2 = (3 + x)(9 + x)

Multiply (3 + x) * (9 + x)
73 + 17x + x2 = (3(9 + x) + x(9 + x))
73 + 17x + x2 = ((9 * 3 + x * 3) + x(9 + x))
73 + 17x + x2 = ((27 + 3x) + x(9 + x))
73 + 17x + x2 = (27 + 3x + (9 * x + x * x))
73 + 17x + x2 = (27 + 3x + (9x + x2))

Combine like terms: 3x + 9x = 12x
73 + 17x + x2 = (27 + 12x + x2)

Add '-1x2' to each side of the equation.
73 + 17x + x2 + -1x2 = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
73 + 17x + 0 = 27 + 12x + x2 + -1x2
73 + 17x = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
73 + 17x = 27 + 12x + 0
73 + 17x = 27 + 12x

Solving
73 + 17x = 27 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
73 + 17x + -12x = 27 + 12x + -12x

Combine like terms: 17x + -12x = 5x
73 + 5x = 27 + 12x + -12x

Combine like terms: 12x + -12x = 0
73 + 5x = 27 + 0
73 + 5x = 27

Add '-73' to each side of the equation.
73 + -73 + 5x = 27 + -73

Combine like terms: 73 + -73 = 0
0 + 5x = 27 + -73
5x = 27 + -73

Combine like terms: 27 + -73 = -46
5x = -46

Divide each side by '5'.
x = -9.2

Simplifying
x = -9.2

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