2(f+-3)=4(f+-6)

Solution for 2(f+-3)=4(f+-6) equation:

Simplifying
2(f + -3) = 4(f + -6)

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

Reorder the terms:
-6 + 2f = 4(-6 + f)
-6 + 2f = (-6 * 4 + f * 4)
-6 + 2f = (-24 + 4f)

Solving
-6 + 2f = -24 + 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.
-6 + 2f + -4f = -24 + 4f + -4f

Combine like terms: 2f + -4f = -2f
-6 + -2f = -24 + 4f + -4f

Combine like terms: 4f + -4f = 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