3(2+x)=x-2

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

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

Reorder the terms:
6 + 3x = -2 + x

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

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

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

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

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

Combine like terms: -2 + -6 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4