5x+(x+2)+(x+4)=2[(x+2)+(x+4)]-4

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Solution for 5x+(x+2)+(x+4)=2[(x+2)+(x+4)]-4 equation: 


Simplifying
5x + (x + 2) + (x + 4) = 2[(x + 2) + (x + 4)] + -4

Reorder the terms:
5x + (2 + x) + (x + 4) = 2[(x + 2) + (x + 4)] + -4

Remove parenthesis around (2 + x)
5x + 2 + x + (x + 4) = 2[(x + 2) + (x + 4)] + -4

Reorder the terms:
5x + 2 + x + (4 + x) = 2[(x + 2) + (x + 4)] + -4

Remove parenthesis around (4 + x)
5x + 2 + x + 4 + x = 2[(x + 2) + (x + 4)] + -4

Reorder the terms:
2 + 4 + 5x + x + x = 2[(x + 2) + (x + 4)] + -4

Combine like terms: 2 + 4 = 6
6 + 5x + x + x = 2[(x + 2) + (x + 4)] + -4

Combine like terms: 5x + x = 6x
6 + 6x + x = 2[(x + 2) + (x + 4)] + -4

Combine like terms: 6x + x = 7x
6 + 7x = 2[(x + 2) + (x + 4)] + -4

Reorder the terms:
6 + 7x = 2[(2 + x) + (x + 4)] + -4

Remove parenthesis around (2 + x)
6 + 7x = 2[2 + x + (x + 4)] + -4

Reorder the terms:
6 + 7x = 2[2 + x + (4 + x)] + -4

Remove parenthesis around (4 + x)
6 + 7x = 2[2 + x + 4 + x] + -4

Reorder the terms:
6 + 7x = 2[2 + 4 + x + x] + -4

Combine like terms: 2 + 4 = 6
6 + 7x = 2[6 + x + x] + -4

Combine like terms: x + x = 2x
6 + 7x = 2[6 + 2x] + -4
6 + 7x = [6 * 2 + 2x * 2] + -4
6 + 7x = [12 + 4x] + -4

Reorder the terms:
6 + 7x = 12 + -4 + 4x

Combine like terms: 12 + -4 = 8
6 + 7x = 8 + 4x

Solving
6 + 7x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 7x + -4x = 8 + 4x + -4x

Combine like terms: 7x + -4x = 3x
6 + 3x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 3x = 8 + 0
6 + 3x = 8

Add '-6' to each side of the equation.
6 + -6 + 3x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 8 + -6
3x = 8 + -6

Combine like terms: 8 + -6 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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