(x+2)+2x+(x+2)+4x+1=4x+2x+(3x+2)

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Solution for (x+2)+2x+(x+2)+4x+1=4x+2x+(3x+2) equation:


Simplifying
(x + 2) + 2x + (x + 2) + 4x + 1 = 4x + 2x + (3x + 2)

Reorder the terms:
(2 + x) + 2x + (x + 2) + 4x + 1 = 4x + 2x + (3x + 2)

Remove parenthesis around (2 + x)
2 + x + 2x + (x + 2) + 4x + 1 = 4x + 2x + (3x + 2)

Reorder the terms:
2 + x + 2x + (2 + x) + 4x + 1 = 4x + 2x + (3x + 2)

Remove parenthesis around (2 + x)
2 + x + 2x + 2 + x + 4x + 1 = 4x + 2x + (3x + 2)

Reorder the terms:
2 + 2 + 1 + x + 2x + x + 4x = 4x + 2x + (3x + 2)

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

Combine like terms: 4 + 1 = 5
5 + x + 2x + x + 4x = 4x + 2x + (3x + 2)

Combine like terms: x + 2x = 3x
5 + 3x + x + 4x = 4x + 2x + (3x + 2)

Combine like terms: 3x + x = 4x
5 + 4x + 4x = 4x + 2x + (3x + 2)

Combine like terms: 4x + 4x = 8x
5 + 8x = 4x + 2x + (3x + 2)

Reorder the terms:
5 + 8x = 4x + 2x + (2 + 3x)

Remove parenthesis around (2 + 3x)
5 + 8x = 4x + 2x + 2 + 3x

Reorder the terms:
5 + 8x = 2 + 4x + 2x + 3x

Combine like terms: 4x + 2x = 6x
5 + 8x = 2 + 6x + 3x

Combine like terms: 6x + 3x = 9x
5 + 8x = 2 + 9x

Solving
5 + 8x = 2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 8x + -9x = 2 + 9x + -9x

Combine like terms: 8x + -9x = -1x
5 + -1x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -1x = 2 + 0
5 + -1x = 2

Add '-5' to each side of the equation.
5 + -5 + -1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 2 + -5
-1x = 2 + -5

Combine like terms: 2 + -5 = -3
-1x = -3

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

Simplifying
x = 3

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