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

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

Simplifying
2 + -1(2f + -4) = -4(-1f + 2)

Reorder the terms:
2 + -1(-4 + 2f) = -4(-1f + 2)
2 + (-4 * -1 + 2f * -1) = -4(-1f + 2)
2 + (4 + -2f) = -4(-1f + 2)

Combine like terms: 2 + 4 = 6
6 + -2f = -4(-1f + 2)

Reorder the terms:
6 + -2f = -4(2 + -1f)
6 + -2f = (2 * -4 + -1f * -4)
6 + -2f = (-8 + 4f)

Solving
6 + -2f = -8 + 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 = -8 + 4f + -4f

Combine like terms: -2f + -4f = -6f
6 + -6f = -8 + 4f + -4f

Combine like terms: 4f + -4f = 0
6 + -6f = -8 + 0
6 + -6f = -8

Add '-6' to each side of the equation.
6 + -6 + -6f = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -6f = -8 + -6
-6f = -8 + -6

Combine like terms: -8 + -6 = -14
-6f = -14

Divide each side by '-6'.
f = 2.333333333

Simplifying
f = 2.333333333