3(f+2)+2(f-4)=8

Solution for 3(f+2)+2(f-4)=8 equation:

Simplifying
3(f + 2) + 2(f + -4) = 8

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

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

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

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

Combine like terms: 3f + 2f = 5f
-2 + 5f = 8

Solving
-2 + 5f = 8

Solving for variable 'f'.

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

Add '2' to each side of the equation.
-2 + 2 + 5f = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 5f = 8 + 2
5f = 8 + 2

Combine like terms: 8 + 2 = 10
5f = 10

Divide each side by '5'.
f = 2

Simplifying
f = 2