(3x+6)+(3x+5)+(3x)=(3x)+(3x)+(4x+4)

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Solution for (3x+6)+(3x+5)+(3x)=(3x)+(3x)+(4x+4) equation: 


Simplifying
(3x + 6) + (3x + 5) + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
(6 + 3x) + (3x + 5) + (3x) = (3x) + (3x) + (4x + 4)

Remove parenthesis around (6 + 3x)
6 + 3x + (3x + 5) + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
6 + 3x + (5 + 3x) + (3x) = (3x) + (3x) + (4x + 4)

Remove parenthesis around (5 + 3x)
6 + 3x + 5 + 3x + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
6 + 5 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 6 + 5 = 11
11 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 3x + 3x = 6x
11 + 6x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 6x + (3x) = 9x
11 + 9x = (3x) + (3x) + (4x + 4)

Reorder the terms:
11 + 9x = (3x) + (3x) + (4 + 4x)

Remove parenthesis around (4 + 4x)
11 + 9x = (3x) + (3x) + 4 + 4x

Reorder the terms:
11 + 9x = 4 + (3x) + (3x) + 4x

Combine like terms: (3x) + (3x) = 6x
11 + 9x = 4 + 6x + 4x

Combine like terms: 6x + 4x = 10x
11 + 9x = 4 + 10x

Solving
11 + 9x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + 9x + -10x = 4 + 10x + -10x

Combine like terms: 9x + -10x = -1x
11 + -1x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
11 + -1x = 4 + 0
11 + -1x = 4

Add '-11' to each side of the equation.
11 + -11 + -1x = 4 + -11

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

Combine like terms: 4 + -11 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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