(2x+8)+(2x+7)+(2x)=(2x)+(2x)+(3x+2)

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Solution for (2x+8)+(2x+7)+(2x)=(2x)+(2x)+(3x+2) equation: 


Simplifying
(2x + 8) + (2x + 7) + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
(8 + 2x) + (2x + 7) + (2x) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (8 + 2x)
8 + 2x + (2x + 7) + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
8 + 2x + (7 + 2x) + (2x) = (2x) + (2x) + (3x + 2)

Remove parenthesis around (7 + 2x)
8 + 2x + 7 + 2x + (2x) = (2x) + (2x) + (3x + 2)

Reorder the terms:
8 + 7 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 2)

Combine like terms: 8 + 7 = 15
15 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 2)

Combine like terms: 2x + 2x = 4x
15 + 4x + (2x) = (2x) + (2x) + (3x + 2)

Combine like terms: 4x + (2x) = 6x
15 + 6x = (2x) + (2x) + (3x + 2)

Reorder the terms:
15 + 6x = (2x) + (2x) + (2 + 3x)

Remove parenthesis around (2 + 3x)
15 + 6x = (2x) + (2x) + 2 + 3x

Reorder the terms:
15 + 6x = 2 + (2x) + (2x) + 3x

Combine like terms: (2x) + (2x) = 4x
15 + 6x = 2 + 4x + 3x

Combine like terms: 4x + 3x = 7x
15 + 6x = 2 + 7x

Solving
15 + 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.
15 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
15 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -1x = 2 + 0
15 + -1x = 2

Add '-15' to each side of the equation.
15 + -15 + -1x = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 2 + -15
-1x = 2 + -15

Combine like terms: 2 + -15 = -13
-1x = -13

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

Simplifying
x = 13

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