6+3f=2(f+4)

Solution for 6+3f=2(f+4) equation:

Simplifying
6 + 3f = 2(f + 4)

Reorder the terms:
6 + 3f = 2(4 + f)
6 + 3f = (4 * 2 + f * 2)
6 + 3f = (8 + 2f)

Solving
6 + 3f = 8 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
6 + 3f + -2f = 8 + 2f + -2f

Combine like terms: 3f + -2f = 1f
6 + 1f = 8 + 2f + -2f

Combine like terms: 2f + -2f = 0
6 + 1f = 8 + 0
6 + 1f = 8

Add '-6' to each side of the equation.
6 + -6 + 1f = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1f = 8 + -6
1f = 8 + -6

Combine like terms: 8 + -6 = 2
1f = 2

Divide each side by '1'.
f = 2

Simplifying
f = 2