(3x+8)+(3x+7)+(3x)=(3x)+(3x)+(4x+8)

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Solution for (3x+8)+(3x+7)+(3x)=(3x)+(3x)+(4x+8) equation: 


Simplifying
(3x + 8) + (3x + 7) + (3x) = (3x) + (3x) + (4x + 8)

Reorder the terms:
(8 + 3x) + (3x + 7) + (3x) = (3x) + (3x) + (4x + 8)

Remove parenthesis around (8 + 3x)
8 + 3x + (3x + 7) + (3x) = (3x) + (3x) + (4x + 8)

Reorder the terms:
8 + 3x + (7 + 3x) + (3x) = (3x) + (3x) + (4x + 8)

Remove parenthesis around (7 + 3x)
8 + 3x + 7 + 3x + (3x) = (3x) + (3x) + (4x + 8)

Reorder the terms:
8 + 7 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 8)

Combine like terms: 8 + 7 = 15
15 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 8)

Combine like terms: 3x + 3x = 6x
15 + 6x + (3x) = (3x) + (3x) + (4x + 8)

Combine like terms: 6x + (3x) = 9x
15 + 9x = (3x) + (3x) + (4x + 8)

Reorder the terms:
15 + 9x = (3x) + (3x) + (8 + 4x)

Remove parenthesis around (8 + 4x)
15 + 9x = (3x) + (3x) + 8 + 4x

Reorder the terms:
15 + 9x = 8 + (3x) + (3x) + 4x

Combine like terms: (3x) + (3x) = 6x
15 + 9x = 8 + 6x + 4x

Combine like terms: 6x + 4x = 10x
15 + 9x = 8 + 10x

Solving
15 + 9x = 8 + 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.
15 + 9x + -10x = 8 + 10x + -10x

Combine like terms: 9x + -10x = -1x
15 + -1x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -1x = 8 + 0
15 + -1x = 8

Add '-15' to each side of the equation.
15 + -15 + -1x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 8 + -15
-1x = 8 + -15

Combine like terms: 8 + -15 = -7
-1x = -7

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

Simplifying
x = 7

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