2(x+3)+(6-x)=0

Solution for 2(x+3)+(6-x)=0 equation:

Simplifying
2(x + 3) + (6 + -1x) = 0

Reorder the terms:
2(3 + x) + (6 + -1x) = 0
(3 * 2 + x * 2) + (6 + -1x) = 0
(6 + 2x) + (6 + -1x) = 0

Remove parenthesis around (6 + -1x)
6 + 2x + 6 + -1x = 0

Reorder the terms:
6 + 6 + 2x + -1x = 0

Combine like terms: 6 + 6 = 12
12 + 2x + -1x = 0

Combine like terms: 2x + -1x = 1x
12 + 1x = 0

Solving
12 + 1x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 1x = 0 + -12

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

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

Divide each side by '1'.
x = -12

Simplifying
x = -12