(x-8)(x-1)=(x+3)(x+7)

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Solution for (x-8)(x-1)=(x+3)(x+7) equation: 


Simplifying
(x + -8)(x + -1) = (x + 3)(x + 7)

Reorder the terms:
(-8 + x)(x + -1) = (x + 3)(x + 7)

Reorder the terms:
(-8 + x)(-1 + x) = (x + 3)(x + 7)

Multiply (-8 + x) * (-1 + x)
(-8(-1 + x) + x(-1 + x)) = (x + 3)(x + 7)
((-1 * -8 + x * -8) + x(-1 + x)) = (x + 3)(x + 7)
((8 + -8x) + x(-1 + x)) = (x + 3)(x + 7)
(8 + -8x + (-1 * x + x * x)) = (x + 3)(x + 7)
(8 + -8x + (-1x + x2)) = (x + 3)(x + 7)

Combine like terms: -8x + -1x = -9x
(8 + -9x + x2) = (x + 3)(x + 7)

Reorder the terms:
8 + -9x + x2 = (3 + x)(x + 7)

Reorder the terms:
8 + -9x + x2 = (3 + x)(7 + x)

Multiply (3 + x) * (7 + x)
8 + -9x + x2 = (3(7 + x) + x(7 + x))
8 + -9x + x2 = ((7 * 3 + x * 3) + x(7 + x))
8 + -9x + x2 = ((21 + 3x) + x(7 + x))
8 + -9x + x2 = (21 + 3x + (7 * x + x * x))
8 + -9x + x2 = (21 + 3x + (7x + x2))

Combine like terms: 3x + 7x = 10x
8 + -9x + x2 = (21 + 10x + x2)

Add '-1x2' to each side of the equation.
8 + -9x + x2 + -1x2 = 21 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -9x + 0 = 21 + 10x + x2 + -1x2
8 + -9x = 21 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -9x = 21 + 10x + 0
8 + -9x = 21 + 10x

Solving
8 + -9x = 21 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + -9x + -10x = 21 + 10x + -10x

Combine like terms: -9x + -10x = -19x
8 + -19x = 21 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -19x = 21 + 0
8 + -19x = 21

Add '-8' to each side of the equation.
8 + -8 + -19x = 21 + -8

Combine like terms: 8 + -8 = 0
0 + -19x = 21 + -8
-19x = 21 + -8

Combine like terms: 21 + -8 = 13
-19x = 13

Divide each side by '-19'.
x = -0.6842105263

Simplifying
x = -0.6842105263

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