x+11=x+(x+1)+(x+2)

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Solution for x+11=x+(x+1)+(x+2) equation:


Simplifying
x + 11 = x + (x + 1) + (x + 2)

Reorder the terms:
11 + x = x + (x + 1) + (x + 2)

Reorder the terms:
11 + x = x + (1 + x) + (x + 2)

Remove parenthesis around (1 + x)
11 + x = x + 1 + x + (x + 2)

Reorder the terms:
11 + x = x + 1 + x + (2 + x)

Remove parenthesis around (2 + x)
11 + x = x + 1 + x + 2 + x

Reorder the terms:
11 + x = 1 + 2 + x + x + x

Combine like terms: 1 + 2 = 3
11 + x = 3 + x + x + x

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

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

Solving
11 + x = 3 + 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.
11 + x + -3x = 3 + 3x + -3x

Combine like terms: x + -3x = -2x
11 + -2x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -2x = 3 + 0
11 + -2x = 3

Add '-11' to each side of the equation.
11 + -11 + -2x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 3 + -11
-2x = 3 + -11

Combine like terms: 3 + -11 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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