3f+2(f+3)=3f+24

Solution for 3f+2(f+3)=3f+24 equation:

Simplifying
3f + 2(f + 3) = 3f + 24

Reorder the terms:
3f + 2(3 + f) = 3f + 24
3f + (3 * 2 + f * 2) = 3f + 24
3f + (6 + 2f) = 3f + 24

Reorder the terms:
6 + 3f + 2f = 3f + 24

Combine like terms: 3f + 2f = 5f
6 + 5f = 3f + 24

Reorder the terms:
6 + 5f = 24 + 3f

Solving
6 + 5f = 24 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
6 + 5f + -3f = 24 + 3f + -3f

Combine like terms: 5f + -3f = 2f
6 + 2f = 24 + 3f + -3f

Combine like terms: 3f + -3f = 0
6 + 2f = 24 + 0
6 + 2f = 24

Add '-6' to each side of the equation.
6 + -6 + 2f = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 2f = 24 + -6
2f = 24 + -6

Combine like terms: 24 + -6 = 18
2f = 18

Divide each side by '2'.
f = 9

Simplifying
f = 9