2(x-2)+2(x+4)=(x+3)+(x+5)+(x+4)

Solution for 2(x-2)+2(x+4)=(x+3)+(x+5)+(x+4) equation:

Simplifying
2(x + -2) + 2(x + 4) = (x + 3) + (x + 5) + (x + 4)

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 8 + 4 = 12
4 + 4x = 12 + x + x + x

Combine like terms: x + x = 2x
4 + 4x = 12 + 2x + x

Combine like terms: 2x + x = 3x
4 + 4x = 12 + 3x

Solving
4 + 4x = 12 + 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.
4 + 4x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + 1x = 12 + 0
4 + 1x = 12

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

Combine like terms: 4 + -4 = 0
0 + 1x = 12 + -4
1x = 12 + -4

Combine like terms: 12 + -4 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8