2(f+3)=8f-14

Solution for 2(f+3)=8f-14 equation:

Simplifying
2(f + 3) = 8f + -14

Reorder the terms:
2(3 + f) = 8f + -14
(3 * 2 + f * 2) = 8f + -14
(6 + 2f) = 8f + -14

Reorder the terms:
6 + 2f = -14 + 8f

Solving
6 + 2f = -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 + 2f + -8f = -14 + 8f + -8f

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

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

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

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

Combine like terms: -14 + -6 = -20
-6f = -20

Divide each side by '-6'.
f = 3.333333333

Simplifying
f = 3.333333333