(x+2)(x-2+2x-8)=(x+1)(x+1+2x-5)

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Solution for (x+2)(x-2+2x-8)=(x+1)(x+1+2x-5) equation:


Simplifying
(x + 2)(x + -2 + 2x + -8) = (x + 1)(x + 1 + 2x + -5)

Reorder the terms:
(2 + x)(x + -2 + 2x + -8) = (x + 1)(x + 1 + 2x + -5)

Reorder the terms:
(2 + x)(-2 + -8 + x + 2x) = (x + 1)(x + 1 + 2x + -5)

Combine like terms: -2 + -8 = -10
(2 + x)(-10 + x + 2x) = (x + 1)(x + 1 + 2x + -5)

Combine like terms: x + 2x = 3x
(2 + x)(-10 + 3x) = (x + 1)(x + 1 + 2x + -5)

Multiply (2 + x) * (-10 + 3x)
(2(-10 + 3x) + x(-10 + 3x)) = (x + 1)(x + 1 + 2x + -5)
((-10 * 2 + 3x * 2) + x(-10 + 3x)) = (x + 1)(x + 1 + 2x + -5)
((-20 + 6x) + x(-10 + 3x)) = (x + 1)(x + 1 + 2x + -5)
(-20 + 6x + (-10 * x + 3x * x)) = (x + 1)(x + 1 + 2x + -5)
(-20 + 6x + (-10x + 3x2)) = (x + 1)(x + 1 + 2x + -5)

Combine like terms: 6x + -10x = -4x
(-20 + -4x + 3x2) = (x + 1)(x + 1 + 2x + -5)

Reorder the terms:
-20 + -4x + 3x2 = (1 + x)(x + 1 + 2x + -5)

Reorder the terms:
-20 + -4x + 3x2 = (1 + x)(1 + -5 + x + 2x)

Combine like terms: 1 + -5 = -4
-20 + -4x + 3x2 = (1 + x)(-4 + x + 2x)

Combine like terms: x + 2x = 3x
-20 + -4x + 3x2 = (1 + x)(-4 + 3x)

Multiply (1 + x) * (-4 + 3x)
-20 + -4x + 3x2 = (1(-4 + 3x) + x(-4 + 3x))
-20 + -4x + 3x2 = ((-4 * 1 + 3x * 1) + x(-4 + 3x))
-20 + -4x + 3x2 = ((-4 + 3x) + x(-4 + 3x))
-20 + -4x + 3x2 = (-4 + 3x + (-4 * x + 3x * x))
-20 + -4x + 3x2 = (-4 + 3x + (-4x + 3x2))

Combine like terms: 3x + -4x = -1x
-20 + -4x + 3x2 = (-4 + -1x + 3x2)

Add '-3x2' to each side of the equation.
-20 + -4x + 3x2 + -3x2 = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + -4x + 0 = -4 + -1x + 3x2 + -3x2
-20 + -4x = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + -4x = -4 + -1x + 0
-20 + -4x = -4 + -1x

Solving
-20 + -4x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + -4x + x = -4 + -1x + x

Combine like terms: -4x + x = -3x
-20 + -3x = -4 + -1x + x

Combine like terms: -1x + x = 0
-20 + -3x = -4 + 0
-20 + -3x = -4

Add '20' to each side of the equation.
-20 + 20 + -3x = -4 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -4 + 20
-3x = -4 + 20

Combine like terms: -4 + 20 = 16
-3x = 16

Divide each side by '-3'.
x = -5.333333333

Simplifying
x = -5.333333333

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