x+(x+1)+(x+2)-5=2(x-1)+11

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Solution for x+(x+1)+(x+2)-5=2(x-1)+11 equation: 


Simplifying
x + (x + 1) + (x + 2) + -5 = 2(x + -1) + 11

Reorder the terms:
x + (1 + x) + (x + 2) + -5 = 2(x + -1) + 11

Remove parenthesis around (1 + x)
x + 1 + x + (x + 2) + -5 = 2(x + -1) + 11

Reorder the terms:
x + 1 + x + (2 + x) + -5 = 2(x + -1) + 11

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x + -5 = 2(x + -1) + 11

Reorder the terms:
1 + 2 + -5 + x + x + x = 2(x + -1) + 11

Combine like terms: 1 + 2 = 3
3 + -5 + x + x + x = 2(x + -1) + 11

Combine like terms: 3 + -5 = -2
-2 + x + x + x = 2(x + -1) + 11

Combine like terms: x + x = 2x
-2 + 2x + x = 2(x + -1) + 11

Combine like terms: 2x + x = 3x
-2 + 3x = 2(x + -1) + 11

Reorder the terms:
-2 + 3x = 2(-1 + x) + 11
-2 + 3x = (-1 * 2 + x * 2) + 11
-2 + 3x = (-2 + 2x) + 11

Reorder the terms:
-2 + 3x = -2 + 11 + 2x

Combine like terms: -2 + 11 = 9
-2 + 3x = 9 + 2x

Solving
-2 + 3x = 9 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -2x = 1x
-2 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 1x = 9 + 0
-2 + 1x = 9

Add '2' to each side of the equation.
-2 + 2 + 1x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 9 + 2
1x = 9 + 2

Combine like terms: 9 + 2 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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