2(x+3)=x-6

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

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

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

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

Solving
6 + 2x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 2x + -1x = -6 + x + -1x

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

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

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

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

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

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

Simplifying
x = -12