(2x+7)+(2x+6)+(2x)=(2x)+(2x)+(3x+9)

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Solution for (2x+7)+(2x+6)+(2x)=(2x)+(2x)+(3x+9) equation: 


Simplifying
(2x + 7) + (2x + 6) + (2x) = (2x) + (2x) + (3x + 9)

Reorder the terms:
(7 + 2x) + (2x + 6) + (2x) = (2x) + (2x) + (3x + 9)

Remove parenthesis around (7 + 2x)
7 + 2x + (2x + 6) + (2x) = (2x) + (2x) + (3x + 9)

Reorder the terms:
7 + 2x + (6 + 2x) + (2x) = (2x) + (2x) + (3x + 9)

Remove parenthesis around (6 + 2x)
7 + 2x + 6 + 2x + (2x) = (2x) + (2x) + (3x + 9)

Reorder the terms:
7 + 6 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 9)

Combine like terms: 7 + 6 = 13
13 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 9)

Combine like terms: 2x + 2x = 4x
13 + 4x + (2x) = (2x) + (2x) + (3x + 9)

Combine like terms: 4x + (2x) = 6x
13 + 6x = (2x) + (2x) + (3x + 9)

Reorder the terms:
13 + 6x = (2x) + (2x) + (9 + 3x)

Remove parenthesis around (9 + 3x)
13 + 6x = (2x) + (2x) + 9 + 3x

Reorder the terms:
13 + 6x = 9 + (2x) + (2x) + 3x

Combine like terms: (2x) + (2x) = 4x
13 + 6x = 9 + 4x + 3x

Combine like terms: 4x + 3x = 7x
13 + 6x = 9 + 7x

Solving
13 + 6x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
13 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x
13 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -1x = 9 + 0
13 + -1x = 9

Add '-13' to each side of the equation.
13 + -13 + -1x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 9 + -13
-1x = 9 + -13

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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