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

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


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

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

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

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

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

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

Combine like terms: 4 + 3 = 7
7 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 4)

Combine like terms: 4x + 4x = 8x
7 + 8x + (4x) = (4x) + (4x) + (5x + 4)

Combine like terms: 8x + (4x) = 12x
7 + 12x = (4x) + (4x) + (5x + 4)

Reorder the terms:
7 + 12x = (4x) + (4x) + (4 + 5x)

Remove parenthesis around (4 + 5x)
7 + 12x = (4x) + (4x) + 4 + 5x

Reorder the terms:
7 + 12x = 4 + (4x) + (4x) + 5x

Combine like terms: (4x) + (4x) = 8x
7 + 12x = 4 + 8x + 5x

Combine like terms: 8x + 5x = 13x
7 + 12x = 4 + 13x

Solving
7 + 12x = 4 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
7 + 12x + -13x = 4 + 13x + -13x

Combine like terms: 12x + -13x = -1x
7 + -1x = 4 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -1x = 4 + 0
7 + -1x = 4

Add '-7' to each side of the equation.
7 + -7 + -1x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 4 + -7
-1x = 4 + -7

Combine like terms: 4 + -7 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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