(3x+5)+(3x+9)+3x=(3x)+(3x)+(4x+4)

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Solution for (3x+5)+(3x+9)+3x=(3x)+(3x)+(4x+4) equation:


Simplifying
(3x + 5) + (3x + 9) + 3x = (3x) + (3x) + (4x + 4)

Reorder the terms:
(5 + 3x) + (3x + 9) + 3x = (3x) + (3x) + (4x + 4)

Remove parenthesis around (5 + 3x)
5 + 3x + (3x + 9) + 3x = (3x) + (3x) + (4x + 4)

Reorder the terms:
5 + 3x + (9 + 3x) + 3x = (3x) + (3x) + (4x + 4)

Remove parenthesis around (9 + 3x)
5 + 3x + 9 + 3x + 3x = (3x) + (3x) + (4x + 4)

Reorder the terms:
5 + 9 + 3x + 3x + 3x = (3x) + (3x) + (4x + 4)

Combine like terms: 5 + 9 = 14
14 + 3x + 3x + 3x = (3x) + (3x) + (4x + 4)

Combine like terms: 3x + 3x = 6x
14 + 6x + 3x = (3x) + (3x) + (4x + 4)

Combine like terms: 6x + 3x = 9x
14 + 9x = (3x) + (3x) + (4x + 4)

Reorder the terms:
14 + 9x = (3x) + (3x) + (4 + 4x)

Remove parenthesis around (4 + 4x)
14 + 9x = (3x) + (3x) + 4 + 4x

Reorder the terms:
14 + 9x = 4 + (3x) + (3x) + 4x

Combine like terms: (3x) + (3x) = 6x
14 + 9x = 4 + 6x + 4x

Combine like terms: 6x + 4x = 10x
14 + 9x = 4 + 10x

Solving
14 + 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.
14 + 9x + -10x = 4 + 10x + -10x

Combine like terms: 9x + -10x = -1x
14 + -1x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -1x = 4 + 0
14 + -1x = 4

Add '-14' to each side of the equation.
14 + -14 + -1x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 4 + -14
-1x = 4 + -14

Combine like terms: 4 + -14 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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