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

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

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

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

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

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

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

Solving
2x = -1x

Solving for variable 'x'.

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

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

Combine like terms: 2x + x = 3x
3x = -1x + x

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

Divide each side by '3'.
x = 0

Simplifying
x = 0