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

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


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

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

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

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

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

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

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

Combine like terms: x + x = 2x
8 + 2x + x + x = x + (x + 9) + (x + 5)

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

Combine like terms: 3x + x = 4x
8 + 4x = x + (x + 9) + (x + 5)

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

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

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

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

Reorder the terms:
8 + 4x = 9 + 5 + x + x + x

Combine like terms: 9 + 5 = 14
8 + 4x = 14 + x + x + x

Combine like terms: x + x = 2x
8 + 4x = 14 + 2x + x

Combine like terms: 2x + x = 3x
8 + 4x = 14 + 3x

Solving
8 + 4x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = 14 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = 14 + 0
8 + 1x = 14

Add '-8' to each side of the equation.
8 + -8 + 1x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 14 + -8
1x = 14 + -8

Combine like terms: 14 + -8 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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