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

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

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

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

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

Solving
6 + 2x = -6 + -2x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 2x = 4x
6 + 4x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = -6 + 0
6 + 4x = -6

Add '-6' to each side of the equation.
6 + -6 + 4x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -6 + -6
4x = -6 + -6

Combine like terms: -6 + -6 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3