(2x+4)+(x+4)+(x+8)=(x+1)+(2x+2)

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Solution for (2x+4)+(x+4)+(x+8)=(x+1)+(2x+2) equation:


Simplifying
(2x + 4) + (x + 4) + (x + 8) = (x + 1) + (2x + 2)

Reorder the terms:
(4 + 2x) + (x + 4) + (x + 8) = (x + 1) + (2x + 2)

Remove parenthesis around (4 + 2x)
4 + 2x + (x + 4) + (x + 8) = (x + 1) + (2x + 2)

Reorder the terms:
4 + 2x + (4 + x) + (x + 8) = (x + 1) + (2x + 2)

Remove parenthesis around (4 + x)
4 + 2x + 4 + x + (x + 8) = (x + 1) + (2x + 2)

Reorder the terms:
4 + 2x + 4 + x + (8 + x) = (x + 1) + (2x + 2)

Remove parenthesis around (8 + x)
4 + 2x + 4 + x + 8 + x = (x + 1) + (2x + 2)

Reorder the terms:
4 + 4 + 8 + 2x + x + x = (x + 1) + (2x + 2)

Combine like terms: 4 + 4 = 8
8 + 8 + 2x + x + x = (x + 1) + (2x + 2)

Combine like terms: 8 + 8 = 16
16 + 2x + x + x = (x + 1) + (2x + 2)

Combine like terms: 2x + x = 3x
16 + 3x + x = (x + 1) + (2x + 2)

Combine like terms: 3x + x = 4x
16 + 4x = (x + 1) + (2x + 2)

Reorder the terms:
16 + 4x = (1 + x) + (2x + 2)

Remove parenthesis around (1 + x)
16 + 4x = 1 + x + (2x + 2)

Reorder the terms:
16 + 4x = 1 + x + (2 + 2x)

Remove parenthesis around (2 + 2x)
16 + 4x = 1 + x + 2 + 2x

Reorder the terms:
16 + 4x = 1 + 2 + x + 2x

Combine like terms: 1 + 2 = 3
16 + 4x = 3 + x + 2x

Combine like terms: x + 2x = 3x
16 + 4x = 3 + 3x

Solving
16 + 4x = 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.
16 + 4x + -3x = 3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
16 + 1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 1x = 3 + 0
16 + 1x = 3

Add '-16' to each side of the equation.
16 + -16 + 1x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 3 + -16
1x = 3 + -16

Combine like terms: 3 + -16 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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