(x-8)(x-7)=(x+9)(x+3)

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Solution for (x-8)(x-7)=(x+9)(x+3) equation: 


Simplifying
(x + -8)(x + -7) = (x + 9)(x + 3)

Reorder the terms:
(-8 + x)(x + -7) = (x + 9)(x + 3)

Reorder the terms:
(-8 + x)(-7 + x) = (x + 9)(x + 3)

Multiply (-8 + x) * (-7 + x)
(-8(-7 + x) + x(-7 + x)) = (x + 9)(x + 3)
((-7 * -8 + x * -8) + x(-7 + x)) = (x + 9)(x + 3)
((56 + -8x) + x(-7 + x)) = (x + 9)(x + 3)
(56 + -8x + (-7 * x + x * x)) = (x + 9)(x + 3)
(56 + -8x + (-7x + x2)) = (x + 9)(x + 3)

Combine like terms: -8x + -7x = -15x
(56 + -15x + x2) = (x + 9)(x + 3)

Reorder the terms:
56 + -15x + x2 = (9 + x)(x + 3)

Reorder the terms:
56 + -15x + x2 = (9 + x)(3 + x)

Multiply (9 + x) * (3 + x)
56 + -15x + x2 = (9(3 + x) + x(3 + x))
56 + -15x + x2 = ((3 * 9 + x * 9) + x(3 + x))
56 + -15x + x2 = ((27 + 9x) + x(3 + x))
56 + -15x + x2 = (27 + 9x + (3 * x + x * x))
56 + -15x + x2 = (27 + 9x + (3x + x2))

Combine like terms: 9x + 3x = 12x
56 + -15x + x2 = (27 + 12x + x2)

Add '-1x2' to each side of the equation.
56 + -15x + x2 + -1x2 = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + -15x + 0 = 27 + 12x + x2 + -1x2
56 + -15x = 27 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + -15x = 27 + 12x + 0
56 + -15x = 27 + 12x

Solving
56 + -15x = 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.
56 + -15x + -12x = 27 + 12x + -12x

Combine like terms: -15x + -12x = -27x
56 + -27x = 27 + 12x + -12x

Combine like terms: 12x + -12x = 0
56 + -27x = 27 + 0
56 + -27x = 27

Add '-56' to each side of the equation.
56 + -56 + -27x = 27 + -56

Combine like terms: 56 + -56 = 0
0 + -27x = 27 + -56
-27x = 27 + -56

Combine like terms: 27 + -56 = -29
-27x = -29

Divide each side by '-27'.
x = 1.074074074

Simplifying
x = 1.074074074

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