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

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

Simplifying
2x + 2(x + 3) = 2(0.5x) + 2(x + 4)

Reorder the terms:
2x + 2(3 + x) = 2(0.5x) + 2(x + 4)
2x + (3 * 2 + x * 2) = 2(0.5x) + 2(x + 4)
2x + (6 + 2x) = 2(0.5x) + 2(x + 4)

Reorder the terms:
6 + 2x + 2x = 2(0.5x) + 2(x + 4)

Combine like terms: 2x + 2x = 4x
6 + 4x = 2(0.5x) + 2(x + 4)

Remove parenthesis around (0.5x)
6 + 4x = 2 * 0.5x + 2(x + 4)

Multiply 2 * 0.5
6 + 4x = 1x + 2(x + 4)

Reorder the terms:
6 + 4x = 1x + 2(4 + x)
6 + 4x = 1x + (4 * 2 + x * 2)
6 + 4x = 1x + (8 + 2x)

Reorder the terms:
6 + 4x = 8 + 1x + 2x

Combine like terms: 1x + 2x = 3x
6 + 4x = 8 + 3x

Solving
6 + 4x = 8 + 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.
6 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 8 + -6
1x = 8 + -6

Combine like terms: 8 + -6 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2