5(f+3)-9=3(f+8)-6

Solution for 5(f+3)-9=3(f+8)-6 equation:

Simplifying
5(f + 3) + -9 = 3(f + 8) + -6

Reorder the terms:
5(3 + f) + -9 = 3(f + 8) + -6
(3 * 5 + f * 5) + -9 = 3(f + 8) + -6
(15 + 5f) + -9 = 3(f + 8) + -6

Reorder the terms:
15 + -9 + 5f = 3(f + 8) + -6

Combine like terms: 15 + -9 = 6
6 + 5f = 3(f + 8) + -6

Reorder the terms:
6 + 5f = 3(8 + f) + -6
6 + 5f = (8 * 3 + f * 3) + -6
6 + 5f = (24 + 3f) + -6

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

Combine like terms: 24 + -6 = 18
6 + 5f = 18 + 3f

Solving
6 + 5f = 18 + 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 = 18 + 3f + -3f

Combine like terms: 5f + -3f = 2f
6 + 2f = 18 + 3f + -3f

Combine like terms: 3f + -3f = 0
6 + 2f = 18 + 0
6 + 2f = 18

Add '-6' to each side of the equation.
6 + -6 + 2f = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 2f = 18 + -6
2f = 18 + -6

Combine like terms: 18 + -6 = 12
2f = 12

Divide each side by '2'.
f = 6

Simplifying
f = 6