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

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


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

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

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

Multiply (1 + x) * (-9 + x)
(1(-9 + x) + x(-9 + x)) = (x + -3)(x + -1)
((-9 * 1 + x * 1) + x(-9 + x)) = (x + -3)(x + -1)
((-9 + 1x) + x(-9 + x)) = (x + -3)(x + -1)
(-9 + 1x + (-9 * x + x * x)) = (x + -3)(x + -1)
(-9 + 1x + (-9x + x2)) = (x + -3)(x + -1)

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

Reorder the terms:
-9 + -8x + x2 = (-3 + x)(x + -1)

Reorder the terms:
-9 + -8x + x2 = (-3 + x)(-1 + x)

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

Combine like terms: -3x + -1x = -4x
-9 + -8x + x2 = (3 + -4x + x2)

Add '-1x2' to each side of the equation.
-9 + -8x + x2 + -1x2 = 3 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -8x + 0 = 3 + -4x + x2 + -1x2
-9 + -8x = 3 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -8x = 3 + -4x + 0
-9 + -8x = 3 + -4x

Solving
-9 + -8x = 3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + -8x + 4x = 3 + -4x + 4x

Combine like terms: -8x + 4x = -4x
-9 + -4x = 3 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + -4x = 3 + 0
-9 + -4x = 3

Add '9' to each side of the equation.
-9 + 9 + -4x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 3 + 9
-4x = 3 + 9

Combine like terms: 3 + 9 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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