2(x+3)=4-x

Solution for 2(x+3)=4-x equation:

Simplifying
2(x + 3) = 4 + -1x

Reorder the terms:
2(3 + x) = 4 + -1x
(3 * 2 + x * 2) = 4 + -1x
(6 + 2x) = 4 + -1x

Solving
6 + 2x = 4 + -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 + 2x + x = 4 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 3x = 4 + 0
6 + 3x = 4

Add '-6' to each side of the equation.
6 + -6 + 3x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 4 + -6
3x = 4 + -6

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667