3(f+2)=2-f

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

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

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

Solving
6 + 3f = 2 + -1f

Solving for variable 'f'.

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

Add 'f' to each side of the equation.
6 + 3f + f = 2 + -1f + f

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

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

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

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

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

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

Simplifying
f = -1