(x+2)(x+3)=(x+3)(x+2)

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


Simplifying
(x + 2)(x + 3) = (x + 3)(x + 2)

Reorder the terms:
(2 + x)(x + 3) = (x + 3)(x + 2)

Reorder the terms:
(2 + x)(3 + x) = (x + 3)(x + 2)

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) = (x + 3)(x + 2)
((3 * 2 + x * 2) + x(3 + x)) = (x + 3)(x + 2)
((6 + 2x) + x(3 + x)) = (x + 3)(x + 2)
(6 + 2x + (3 * x + x * x)) = (x + 3)(x + 2)
(6 + 2x + (3x + x2)) = (x + 3)(x + 2)

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2) = (x + 3)(x + 2)

Reorder the terms:
6 + 5x + x2 = (3 + x)(x + 2)

Reorder the terms:
6 + 5x + x2 = (3 + x)(2 + x)

Multiply (3 + x) * (2 + x)
6 + 5x + x2 = (3(2 + x) + x(2 + x))
6 + 5x + x2 = ((2 * 3 + x * 3) + x(2 + x))
6 + 5x + x2 = ((6 + 3x) + x(2 + x))
6 + 5x + x2 = (6 + 3x + (2 * x + x * x))
6 + 5x + x2 = (6 + 3x + (2x + x2))

Combine like terms: 3x + 2x = 5x
6 + 5x + x2 = (6 + 5x + x2)

Add '-6' to each side of the equation.
6 + 5x + -6 + x2 = 6 + 5x + -6 + x2

Reorder the terms:
6 + -6 + 5x + x2 = 6 + 5x + -6 + x2

Combine like terms: 6 + -6 = 0
0 + 5x + x2 = 6 + 5x + -6 + x2
5x + x2 = 6 + 5x + -6 + x2

Reorder the terms:
5x + x2 = 6 + -6 + 5x + x2

Combine like terms: 6 + -6 = 0
5x + x2 = 0 + 5x + x2
5x + x2 = 5x + x2

Add '-5x' to each side of the equation.
5x + -5x + x2 = 5x + -5x + x2

Combine like terms: 5x + -5x = 0
0 + x2 = 5x + -5x + x2
x2 = 5x + -5x + x2

Combine like terms: 5x + -5x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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