(2x+9)+(2x+8)+(2x)=(2x)+(3x+1)

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Solution for (2x+9)+(2x+8)+(2x)=(2x)+(3x+1) equation:


Simplifying
(2x + 9) + (2x + 8) + (2x) = (2x) + (3x + 1)

Reorder the terms:
(9 + 2x) + (2x + 8) + (2x) = (2x) + (3x + 1)

Remove parenthesis around (9 + 2x)
9 + 2x + (2x + 8) + (2x) = (2x) + (3x + 1)

Reorder the terms:
9 + 2x + (8 + 2x) + (2x) = (2x) + (3x + 1)

Remove parenthesis around (8 + 2x)
9 + 2x + 8 + 2x + (2x) = (2x) + (3x + 1)

Reorder the terms:
9 + 8 + 2x + 2x + (2x) = (2x) + (3x + 1)

Combine like terms: 9 + 8 = 17
17 + 2x + 2x + (2x) = (2x) + (3x + 1)

Combine like terms: 2x + 2x = 4x
17 + 4x + (2x) = (2x) + (3x + 1)

Combine like terms: 4x + (2x) = 6x
17 + 6x = (2x) + (3x + 1)

Reorder the terms:
17 + 6x = (2x) + (1 + 3x)

Remove parenthesis around (1 + 3x)
17 + 6x = (2x) + 1 + 3x

Reorder the terms:
17 + 6x = 1 + (2x) + 3x

Combine like terms: (2x) + 3x = 5x
17 + 6x = 1 + 5x

Solving
17 + 6x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + 6x + -5x = 1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
17 + 1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + 1x = 1 + 0
17 + 1x = 1

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

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

Combine like terms: 1 + -17 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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