6-2f+3f=6f-9

Solution for 6-2f+3f=6f-9 equation:

Simplifying
6 + -2f + 3f = 6f + -9

Combine like terms: -2f + 3f = 1f
6 + 1f = 6f + -9

Reorder the terms:
6 + 1f = -9 + 6f

Solving
6 + 1f = -9 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
6 + 1f + -6f = -9 + 6f + -6f

Combine like terms: 1f + -6f = -5f
6 + -5f = -9 + 6f + -6f

Combine like terms: 6f + -6f = 0
6 + -5f = -9 + 0
6 + -5f = -9

Add '-6' to each side of the equation.
6 + -6 + -5f = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5f = -9 + -6
-5f = -9 + -6

Combine like terms: -9 + -6 = -15
-5f = -15

Divide each side by '-5'.
f = 3

Simplifying
f = 3