3f+6-7f=12-8f+2

Solution for 3f+6-7f=12-8f+2 equation:

Simplifying
3f + 6 + -7f = 12 + -8f + 2

Reorder the terms:
6 + 3f + -7f = 12 + -8f + 2

Combine like terms: 3f + -7f = -4f
6 + -4f = 12 + -8f + 2

Reorder the terms:
6 + -4f = 12 + 2 + -8f

Combine like terms: 12 + 2 = 14
6 + -4f = 14 + -8f

Solving
6 + -4f = 14 + -8f

Solving for variable 'f'.

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

Add '8f' to each side of the equation.
6 + -4f + 8f = 14 + -8f + 8f

Combine like terms: -4f + 8f = 4f
6 + 4f = 14 + -8f + 8f

Combine like terms: -8f + 8f = 0
6 + 4f = 14 + 0
6 + 4f = 14

Add '-6' to each side of the equation.
6 + -6 + 4f = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 4f = 14 + -6
4f = 14 + -6

Combine like terms: 14 + -6 = 8
4f = 8

Divide each side by '4'.
f = 2

Simplifying
f = 2