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

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

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

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

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

Combine like terms: 8f + 3f = 11f
-6 + 11f = 4(3 + 2f)
-6 + 11f = (3 * 4 + 2f * 4)
-6 + 11f = (12 + 8f)

Solving
-6 + 11f = 12 + 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 + 11f + -8f = 12 + 8f + -8f

Combine like terms: 11f + -8f = 3f
-6 + 3f = 12 + 8f + -8f

Combine like terms: 8f + -8f = 0
-6 + 3f = 12 + 0
-6 + 3f = 12

Add '6' to each side of the equation.
-6 + 6 + 3f = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3f = 12 + 6
3f = 12 + 6

Combine like terms: 12 + 6 = 18
3f = 18

Divide each side by '3'.
f = 6

Simplifying
f = 6