2(f+3)+4f=6+7f

Solution for 2(f+3)+4f=6+7f equation:

Simplifying
2(f + 3) + 4f = 6 + 7f

Reorder the terms:
2(3 + f) + 4f = 6 + 7f
(3 * 2 + f * 2) + 4f = 6 + 7f
(6 + 2f) + 4f = 6 + 7f

Combine like terms: 2f + 4f = 6f
6 + 6f = 6 + 7f

Add '-6' to each side of the equation.
6 + -6 + 6f = 6 + -6 + 7f

Combine like terms: 6 + -6 = 0
0 + 6f = 6 + -6 + 7f
6f = 6 + -6 + 7f

Combine like terms: 6 + -6 = 0
6f = 0 + 7f
6f = 7f

Solving
6f = 7f

Solving for variable 'f'.

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

Add '-7f' to each side of the equation.
6f + -7f = 7f + -7f

Combine like terms: 6f + -7f = -1f
-1f = 7f + -7f

Combine like terms: 7f + -7f = 0
-1f = 0

Divide each side by '-1'.
f = 0

Simplifying
f = 0