(4x+9)+(4x+8)+(4x)=(4x)+(4x)+(5x+7)

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Solution for (4x+9)+(4x+8)+(4x)=(4x)+(4x)+(5x+7) equation:


Simplifying
(4x + 9) + (4x + 8) + (4x) = (4x) + (4x) + (5x + 7)

Reorder the terms:
(9 + 4x) + (4x + 8) + (4x) = (4x) + (4x) + (5x + 7)

Remove parenthesis around (9 + 4x)
9 + 4x + (4x + 8) + (4x) = (4x) + (4x) + (5x + 7)

Reorder the terms:
9 + 4x + (8 + 4x) + (4x) = (4x) + (4x) + (5x + 7)

Remove parenthesis around (8 + 4x)
9 + 4x + 8 + 4x + (4x) = (4x) + (4x) + (5x + 7)

Reorder the terms:
9 + 8 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 7)

Combine like terms: 9 + 8 = 17
17 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 7)

Combine like terms: 4x + 4x = 8x
17 + 8x + (4x) = (4x) + (4x) + (5x + 7)

Combine like terms: 8x + (4x) = 12x
17 + 12x = (4x) + (4x) + (5x + 7)

Reorder the terms:
17 + 12x = (4x) + (4x) + (7 + 5x)

Remove parenthesis around (7 + 5x)
17 + 12x = (4x) + (4x) + 7 + 5x

Reorder the terms:
17 + 12x = 7 + (4x) + (4x) + 5x

Combine like terms: (4x) + (4x) = 8x
17 + 12x = 7 + 8x + 5x

Combine like terms: 8x + 5x = 13x
17 + 12x = 7 + 13x

Solving
17 + 12x = 7 + 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.
17 + 12x + -13x = 7 + 13x + -13x

Combine like terms: 12x + -13x = -1x
17 + -1x = 7 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -1x = 7 + 0
17 + -1x = 7

Add '-17' to each side of the equation.
17 + -17 + -1x = 7 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 7 + -17
-1x = 7 + -17

Combine like terms: 7 + -17 = -10
-1x = -10

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

Simplifying
x = 10

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