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

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


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

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

Reorder the terms:
2 + x = x + 2(2 + x)
2 + x = x + (2 * 2 + x * 2)
2 + x = x + (4 + 2x)

Reorder the terms:
2 + x = 4 + x + 2x

Combine like terms: x + 2x = 3x
2 + x = 4 + 3x

Solving
2 + x = 4 + 3x

Solving for variable 'x'.

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

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

Combine like terms: x + -3x = -2x
2 + -2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -2x = 4 + 0
2 + -2x = 4

Add '-2' to each side of the equation.
2 + -2 + -2x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 4 + -2
-2x = 4 + -2

Combine like terms: 4 + -2 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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