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

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

Simplifying
3(f + 6) + -9 = 5f + -1(f + 3)

Reorder the terms:
3(6 + f) + -9 = 5f + -1(f + 3)
(6 * 3 + f * 3) + -9 = 5f + -1(f + 3)
(18 + 3f) + -9 = 5f + -1(f + 3)

Reorder the terms:
18 + -9 + 3f = 5f + -1(f + 3)

Combine like terms: 18 + -9 = 9
9 + 3f = 5f + -1(f + 3)

Reorder the terms:
9 + 3f = 5f + -1(3 + f)
9 + 3f = 5f + (3 * -1 + f * -1)
9 + 3f = 5f + (-3 + -1f)

Reorder the terms:
9 + 3f = -3 + 5f + -1f

Combine like terms: 5f + -1f = 4f
9 + 3f = -3 + 4f

Solving
9 + 3f = -3 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.
9 + 3f + -4f = -3 + 4f + -4f

Combine like terms: 3f + -4f = -1f
9 + -1f = -3 + 4f + -4f

Combine like terms: 4f + -4f = 0
9 + -1f = -3 + 0
9 + -1f = -3

Add '-9' to each side of the equation.
9 + -9 + -1f = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -1f = -3 + -9
-1f = -3 + -9

Combine like terms: -3 + -9 = -12
-1f = -12

Divide each side by '-1'.
f = 12

Simplifying
f = 12