3(f+4)=f-6

Solution for 3(f+4)=f-6 equation:

Simplifying
3(f + 4) = f + -6

Reorder the terms:
3(4 + f) = f + -6
(4 * 3 + f * 3) = f + -6
(12 + 3f) = f + -6

Reorder the terms:
12 + 3f = -6 + f

Solving
12 + 3f = -6 + f

Solving for variable 'f'.

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

Add '-1f' to each side of the equation.
12 + 3f + -1f = -6 + f + -1f

Combine like terms: 3f + -1f = 2f
12 + 2f = -6 + f + -1f

Combine like terms: f + -1f = 0
12 + 2f = -6 + 0
12 + 2f = -6

Add '-12' to each side of the equation.
12 + -12 + 2f = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 2f = -6 + -12
2f = -6 + -12

Combine like terms: -6 + -12 = -18
2f = -18

Divide each side by '2'.
f = -9

Simplifying
f = -9