(x+8)(x-1)=(x+2)(x+2)

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Solution for (x+8)(x-1)=(x+2)(x+2) equation: 


Simplifying
(x + 8)(x + -1) = (x + 2)(x + 2)

Reorder the terms:
(8 + x)(x + -1) = (x + 2)(x + 2)

Reorder the terms:
(8 + x)(-1 + x) = (x + 2)(x + 2)

Multiply (8 + x) * (-1 + x)
(8(-1 + x) + x(-1 + x)) = (x + 2)(x + 2)
((-1 * 8 + x * 8) + x(-1 + x)) = (x + 2)(x + 2)
((-8 + 8x) + x(-1 + x)) = (x + 2)(x + 2)
(-8 + 8x + (-1 * x + x * x)) = (x + 2)(x + 2)
(-8 + 8x + (-1x + x2)) = (x + 2)(x + 2)

Combine like terms: 8x + -1x = 7x
(-8 + 7x + x2) = (x + 2)(x + 2)

Reorder the terms:
-8 + 7x + x2 = (2 + x)(x + 2)

Reorder the terms:
-8 + 7x + x2 = (2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
-8 + 7x + x2 = (2(2 + x) + x(2 + x))
-8 + 7x + x2 = ((2 * 2 + x * 2) + x(2 + x))
-8 + 7x + x2 = ((4 + 2x) + x(2 + x))
-8 + 7x + x2 = (4 + 2x + (2 * x + x * x))
-8 + 7x + x2 = (4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
-8 + 7x + x2 = (4 + 4x + x2)

Add '-1x2' to each side of the equation.
-8 + 7x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 7x + 0 = 4 + 4x + x2 + -1x2
-8 + 7x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 7x = 4 + 4x + 0
-8 + 7x = 4 + 4x

Solving
-8 + 7x = 4 + 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.
-8 + 7x + -4x = 4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-8 + 3x = 4 + 4x + -4x

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

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

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

Combine like terms: 4 + 8 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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