(2x+6)+(2x+5)+(2x)=(2x)+(2x)+(3x+2)

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Solution for (2x+6)+(2x+5)+(2x)=(2x)+(2x)+(3x+2) equation: 


Simplifying
(2x + 6) + (2x + 5) + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
(6 + 2x) + (2x + 5) + (2x) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (6 + 2x)
6 + 2x + (2x + 5) + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
6 + 2x + (5 + 2x) + (2x) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (5 + 2x)
6 + 2x + 5 + 2x + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
6 + 5 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 2)

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

Combine like terms: 2x + 2x = 4x
11 + 4x + (2x) = (2x) + (2x) + (3x + 2)

Combine like terms: 4x + (2x) = 6x
11 + 6x = (2x) + (2x) + (3x + 2)

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

Remove parenthesis around (2 + 3x)
11 + 6x = (2x) + (2x) + 2 + 3x

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

Combine like terms: (2x) + (2x) = 4x
11 + 6x = 2 + 4x + 3x

Combine like terms: 4x + 3x = 7x
11 + 6x = 2 + 7x

Solving
11 + 6x = 2 + 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.
11 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
11 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -1x = 2 + 0
11 + -1x = 2

Add '-11' to each side of the equation.
11 + -11 + -1x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 2 + -11
-1x = 2 + -11

Combine like terms: 2 + -11 = -9
-1x = -9

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

Simplifying
x = 9

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