(3x+7)+(3x+6)+(3x)=(3x)+(3x)+(4x+4)

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Solution for (3x+7)+(3x+6)+(3x)=(3x)+(3x)+(4x+4) equation:


Simplifying
(3x + 7) + (3x + 6) + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
(7 + 3x) + (3x + 6) + (3x) = (3x) + (3x) + (4x + 4)

Remove parenthesis around (7 + 3x)
7 + 3x + (3x + 6) + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
7 + 3x + (6 + 3x) + (3x) = (3x) + (3x) + (4x + 4)

Remove parenthesis around (6 + 3x)
7 + 3x + 6 + 3x + (3x) = (3x) + (3x) + (4x + 4)

Reorder the terms:
7 + 6 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 7 + 6 = 13
13 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 3x + 3x = 6x
13 + 6x + (3x) = (3x) + (3x) + (4x + 4)

Combine like terms: 6x + (3x) = 9x
13 + 9x = (3x) + (3x) + (4x + 4)

Reorder the terms:
13 + 9x = (3x) + (3x) + (4 + 4x)

Remove parenthesis around (4 + 4x)
13 + 9x = (3x) + (3x) + 4 + 4x

Reorder the terms:
13 + 9x = 4 + (3x) + (3x) + 4x

Combine like terms: (3x) + (3x) = 6x
13 + 9x = 4 + 6x + 4x

Combine like terms: 6x + 4x = 10x
13 + 9x = 4 + 10x

Solving
13 + 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.
13 + 9x + -10x = 4 + 10x + -10x

Combine like terms: 9x + -10x = -1x
13 + -1x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + -1x = 4 + 0
13 + -1x = 4

Add '-13' to each side of the equation.
13 + -13 + -1x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 4 + -13
-1x = 4 + -13

Combine like terms: 4 + -13 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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