(4x+7)+(4x+6)+(4x)=(4x)+(4x)+(5x+8)

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Solution for (4x+7)+(4x+6)+(4x)=(4x)+(4x)+(5x+8) equation:


Simplifying
(4x + 7) + (4x + 6) + (4x) = (4x) + (4x) + (5x + 8)

Reorder the terms:
(7 + 4x) + (4x + 6) + (4x) = (4x) + (4x) + (5x + 8)

Remove parenthesis around (7 + 4x)
7 + 4x + (4x + 6) + (4x) = (4x) + (4x) + (5x + 8)

Reorder the terms:
7 + 4x + (6 + 4x) + (4x) = (4x) + (4x) + (5x + 8)

Remove parenthesis around (6 + 4x)
7 + 4x + 6 + 4x + (4x) = (4x) + (4x) + (5x + 8)

Reorder the terms:
7 + 6 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 8)

Combine like terms: 7 + 6 = 13
13 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 8)

Combine like terms: 4x + 4x = 8x
13 + 8x + (4x) = (4x) + (4x) + (5x + 8)

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

Reorder the terms:
13 + 12x = (4x) + (4x) + (8 + 5x)

Remove parenthesis around (8 + 5x)
13 + 12x = (4x) + (4x) + 8 + 5x

Reorder the terms:
13 + 12x = 8 + (4x) + (4x) + 5x

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

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

Solving
13 + 12x = 8 + 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.
13 + 12x + -13x = 8 + 13x + -13x

Combine like terms: 12x + -13x = -1x
13 + -1x = 8 + 13x + -13x

Combine like terms: 13x + -13x = 0
13 + -1x = 8 + 0
13 + -1x = 8

Add '-13' to each side of the equation.
13 + -13 + -1x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 8 + -13
-1x = 8 + -13

Combine like terms: 8 + -13 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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