(4x+6)+(4x+5)+(4x)=(4x)+(4x)+(5x+4)

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Solution for (4x+6)+(4x+5)+(4x)=(4x)+(4x)+(5x+4) equation: 


Simplifying
(4x + 6) + (4x + 5) + (4x) = (4x) + (4x) + (5x + 4)

Reorder the terms:
(6 + 4x) + (4x + 5) + (4x) = (4x) + (4x) + (5x + 4)

Remove parenthesis around (6 + 4x)
6 + 4x + (4x + 5) + (4x) = (4x) + (4x) + (5x + 4)

Reorder the terms:
6 + 4x + (5 + 4x) + (4x) = (4x) + (4x) + (5x + 4)

Remove parenthesis around (5 + 4x)
6 + 4x + 5 + 4x + (4x) = (4x) + (4x) + (5x + 4)

Reorder the terms:
6 + 5 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 4)

Combine like terms: 6 + 5 = 11
11 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 4)

Combine like terms: 4x + 4x = 8x
11 + 8x + (4x) = (4x) + (4x) + (5x + 4)

Combine like terms: 8x + (4x) = 12x
11 + 12x = (4x) + (4x) + (5x + 4)

Reorder the terms:
11 + 12x = (4x) + (4x) + (4 + 5x)

Remove parenthesis around (4 + 5x)
11 + 12x = (4x) + (4x) + 4 + 5x

Reorder the terms:
11 + 12x = 4 + (4x) + (4x) + 5x

Combine like terms: (4x) + (4x) = 8x
11 + 12x = 4 + 8x + 5x

Combine like terms: 8x + 5x = 13x
11 + 12x = 4 + 13x

Solving
11 + 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.
11 + 12x + -13x = 4 + 13x + -13x

Combine like terms: 12x + -13x = -1x
11 + -1x = 4 + 13x + -13x

Combine like terms: 13x + -13x = 0
11 + -1x = 4 + 0
11 + -1x = 4

Add '-11' to each side of the equation.
11 + -11 + -1x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 4 + -11
-1x = 4 + -11

Combine like terms: 4 + -11 = -7
-1x = -7

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

Simplifying
x = 7

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