3(x+2)=2-x

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

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

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

Solving
6 + 3x = 2 + -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.
6 + 3x + x = 2 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 4x = 2 + 0
6 + 4x = 2

Add '-6' to each side of the equation.
6 + -6 + 4x = 2 + -6

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

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

Divide each side by '4'.
x = -1

Simplifying
x = -1