(3x+3)+(3x+2)+(3x)=(3x)+(3x)+(4x+3)

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Solution for (3x+3)+(3x+2)+(3x)=(3x)+(3x)+(4x+3) equation:


Simplifying
(3x + 3) + (3x + 2) + (3x) = (3x) + (3x) + (4x + 3)

Reorder the terms:
(3 + 3x) + (3x + 2) + (3x) = (3x) + (3x) + (4x + 3)

Remove parenthesis around (3 + 3x)
3 + 3x + (3x + 2) + (3x) = (3x) + (3x) + (4x + 3)

Reorder the terms:
3 + 3x + (2 + 3x) + (3x) = (3x) + (3x) + (4x + 3)

Remove parenthesis around (2 + 3x)
3 + 3x + 2 + 3x + (3x) = (3x) + (3x) + (4x + 3)

Reorder the terms:
3 + 2 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 3)

Combine like terms: 3 + 2 = 5
5 + 3x + 3x + (3x) = (3x) + (3x) + (4x + 3)

Combine like terms: 3x + 3x = 6x
5 + 6x + (3x) = (3x) + (3x) + (4x + 3)

Combine like terms: 6x + (3x) = 9x
5 + 9x = (3x) + (3x) + (4x + 3)

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

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

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

Combine like terms: (3x) + (3x) = 6x
5 + 9x = 3 + 6x + 4x

Combine like terms: 6x + 4x = 10x
5 + 9x = 3 + 10x

Solving
5 + 9x = 3 + 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.
5 + 9x + -10x = 3 + 10x + -10x

Combine like terms: 9x + -10x = -1x
5 + -1x = 3 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -1x = 3 + 0
5 + -1x = 3

Add '-5' to each side of the equation.
5 + -5 + -1x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 3 + -5
-1x = 3 + -5

Combine like terms: 3 + -5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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