(x+2)2x+(x+1)(x-2)=3(x+1)(x+2)

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Solution for (x+2)2x+(x+1)(x-2)=3(x+1)(x+2) equation: 


Simplifying
(x + 2) * 2x + (x + 1)(x + -2) = 3(x + 1)(x + 2)

Reorder the terms:
(2 + x) * 2x + (x + 1)(x + -2) = 3(x + 1)(x + 2)

Reorder the terms for easier multiplication:
2x(2 + x) + (x + 1)(x + -2) = 3(x + 1)(x + 2)
(2 * 2x + x * 2x) + (x + 1)(x + -2) = 3(x + 1)(x + 2)
(4x + 2x2) + (x + 1)(x + -2) = 3(x + 1)(x + 2)

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

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

Multiply (1 + x) * (-2 + x)
4x + 2x2 + (1(-2 + x) + x(-2 + x)) = 3(x + 1)(x + 2)
4x + 2x2 + ((-2 * 1 + x * 1) + x(-2 + x)) = 3(x + 1)(x + 2)
4x + 2x2 + ((-2 + 1x) + x(-2 + x)) = 3(x + 1)(x + 2)
4x + 2x2 + (-2 + 1x + (-2 * x + x * x)) = 3(x + 1)(x + 2)
4x + 2x2 + (-2 + 1x + (-2x + x2)) = 3(x + 1)(x + 2)

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

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

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

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

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

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

Multiply (1 + x) * (2 + x)
-2 + 3x + 3x2 = 3(1(2 + x) + x(2 + x))
-2 + 3x + 3x2 = 3((2 * 1 + x * 1) + x(2 + x))
-2 + 3x + 3x2 = 3((2 + 1x) + x(2 + x))
-2 + 3x + 3x2 = 3(2 + 1x + (2 * x + x * x))
-2 + 3x + 3x2 = 3(2 + 1x + (2x + x2))

Combine like terms: 1x + 2x = 3x
-2 + 3x + 3x2 = 3(2 + 3x + x2)
-2 + 3x + 3x2 = (2 * 3 + 3x * 3 + x2 * 3)
-2 + 3x + 3x2 = (6 + 9x + 3x2)

Add '-3x2' to each side of the equation.
-2 + 3x + 3x2 + -3x2 = 6 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 3x + 0 = 6 + 9x + 3x2 + -3x2
-2 + 3x = 6 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + 3x = 6 + 9x + 0
-2 + 3x = 6 + 9x

Solving
-2 + 3x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 3x + -9x = 6 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-2 + -6x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -6x = 6 + 0
-2 + -6x = 6

Add '2' to each side of the equation.
-2 + 2 + -6x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = 6 + 2
-6x = 6 + 2

Combine like terms: 6 + 2 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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