(x-10)(x-1)=(x+9)(x+1)

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Solution for (x-10)(x-1)=(x+9)(x+1) equation: 


Simplifying
(x + -10)(x + -1) = (x + 9)(x + 1)

Reorder the terms:
(-10 + x)(x + -1) = (x + 9)(x + 1)

Reorder the terms:
(-10 + x)(-1 + x) = (x + 9)(x + 1)

Multiply (-10 + x) * (-1 + x)
(-10(-1 + x) + x(-1 + x)) = (x + 9)(x + 1)
((-1 * -10 + x * -10) + x(-1 + x)) = (x + 9)(x + 1)
((10 + -10x) + x(-1 + x)) = (x + 9)(x + 1)
(10 + -10x + (-1 * x + x * x)) = (x + 9)(x + 1)
(10 + -10x + (-1x + x2)) = (x + 9)(x + 1)

Combine like terms: -10x + -1x = -11x
(10 + -11x + x2) = (x + 9)(x + 1)

Reorder the terms:
10 + -11x + x2 = (9 + x)(x + 1)

Reorder the terms:
10 + -11x + x2 = (9 + x)(1 + x)

Multiply (9 + x) * (1 + x)
10 + -11x + x2 = (9(1 + x) + x(1 + x))
10 + -11x + x2 = ((1 * 9 + x * 9) + x(1 + x))
10 + -11x + x2 = ((9 + 9x) + x(1 + x))
10 + -11x + x2 = (9 + 9x + (1 * x + x * x))
10 + -11x + x2 = (9 + 9x + (1x + x2))

Combine like terms: 9x + 1x = 10x
10 + -11x + x2 = (9 + 10x + x2)

Add '-1x2' to each side of the equation.
10 + -11x + x2 + -1x2 = 9 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -11x + 0 = 9 + 10x + x2 + -1x2
10 + -11x = 9 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -11x = 9 + 10x + 0
10 + -11x = 9 + 10x

Solving
10 + -11x = 9 + 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.
10 + -11x + -10x = 9 + 10x + -10x

Combine like terms: -11x + -10x = -21x
10 + -21x = 9 + 10x + -10x

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

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

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

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

Divide each side by '-21'.
x = 0.04761904762

Simplifying
x = 0.04761904762

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