x+(x+2)+(x+4)+(x+6)=14-x

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Solution for x+(x+2)+(x+4)+(x+6)=14-x equation:


Simplifying
x + (x + 2) + (x + 4) + (x + 6) = 14 + -1x

Reorder the terms:
x + (2 + x) + (x + 4) + (x + 6) = 14 + -1x

Remove parenthesis around (2 + x)
x + 2 + x + (x + 4) + (x + 6) = 14 + -1x

Reorder the terms:
x + 2 + x + (4 + x) + (x + 6) = 14 + -1x

Remove parenthesis around (4 + x)
x + 2 + x + 4 + x + (x + 6) = 14 + -1x

Reorder the terms:
x + 2 + x + 4 + x + (6 + x) = 14 + -1x

Remove parenthesis around (6 + x)
x + 2 + x + 4 + x + 6 + x = 14 + -1x

Reorder the terms:
2 + 4 + 6 + x + x + x + x = 14 + -1x

Combine like terms: 2 + 4 = 6
6 + 6 + x + x + x + x = 14 + -1x

Combine like terms: 6 + 6 = 12
12 + x + x + x + x = 14 + -1x

Combine like terms: x + x = 2x
12 + 2x + x + x = 14 + -1x

Combine like terms: 2x + x = 3x
12 + 3x + x = 14 + -1x

Combine like terms: 3x + x = 4x
12 + 4x = 14 + -1x

Solving
12 + 4x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + 4x + x = 14 + -1x + x

Combine like terms: 4x + x = 5x
12 + 5x = 14 + -1x + x

Combine like terms: -1x + x = 0
12 + 5x = 14 + 0
12 + 5x = 14

Add '-12' to each side of the equation.
12 + -12 + 5x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 14 + -12
5x = 14 + -12

Combine like terms: 14 + -12 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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