(x+4)+(x+2)+(x+5)=2(x+1)+2(x+3)

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Solution for (x+4)+(x+2)+(x+5)=2(x+1)+2(x+3) equation: 


Simplifying
(x + 4) + (x + 2) + (x + 5) = 2(x + 1) + 2(x + 3)

Reorder the terms:
(4 + x) + (x + 2) + (x + 5) = 2(x + 1) + 2(x + 3)

Remove parenthesis around (4 + x)
4 + x + (x + 2) + (x + 5) = 2(x + 1) + 2(x + 3)

Reorder the terms:
4 + x + (2 + x) + (x + 5) = 2(x + 1) + 2(x + 3)

Remove parenthesis around (2 + x)
4 + x + 2 + x + (x + 5) = 2(x + 1) + 2(x + 3)

Reorder the terms:
4 + x + 2 + x + (5 + x) = 2(x + 1) + 2(x + 3)

Remove parenthesis around (5 + x)
4 + x + 2 + x + 5 + x = 2(x + 1) + 2(x + 3)

Reorder the terms:
4 + 2 + 5 + x + x + x = 2(x + 1) + 2(x + 3)

Combine like terms: 4 + 2 = 6
6 + 5 + x + x + x = 2(x + 1) + 2(x + 3)

Combine like terms: 6 + 5 = 11
11 + x + x + x = 2(x + 1) + 2(x + 3)

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

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

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

Reorder the terms:
11 + 3x = 2 + 2x + 2(3 + x)
11 + 3x = 2 + 2x + (3 * 2 + x * 2)
11 + 3x = 2 + 2x + (6 + 2x)

Reorder the terms:
11 + 3x = 2 + 6 + 2x + 2x

Combine like terms: 2 + 6 = 8
11 + 3x = 8 + 2x + 2x

Combine like terms: 2x + 2x = 4x
11 + 3x = 8 + 4x

Solving
11 + 3x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
11 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -1x = 8 + 0
11 + -1x = 8

Add '-11' to each side of the equation.
11 + -11 + -1x = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 8 + -11
-1x = 8 + -11

Combine like terms: 8 + -11 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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