2(2f-3)=4(4f-8)

Solution for 2(2f-3)=4(4f-8) equation:

Simplifying
2(2f + -3) = 4(4f + -8)

Reorder the terms:
2(-3 + 2f) = 4(4f + -8)
(-3 * 2 + 2f * 2) = 4(4f + -8)
(-6 + 4f) = 4(4f + -8)

Reorder the terms:
-6 + 4f = 4(-8 + 4f)
-6 + 4f = (-8 * 4 + 4f * 4)
-6 + 4f = (-32 + 16f)

Solving
-6 + 4f = -32 + 16f

Solving for variable 'f'.

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

Add '-16f' to each side of the equation.
-6 + 4f + -16f = -32 + 16f + -16f

Combine like terms: 4f + -16f = -12f
-6 + -12f = -32 + 16f + -16f

Combine like terms: 16f + -16f = 0
-6 + -12f = -32 + 0
-6 + -12f = -32

Add '6' to each side of the equation.
-6 + 6 + -12f = -32 + 6

Combine like terms: -6 + 6 = 0
0 + -12f = -32 + 6
-12f = -32 + 6

Combine like terms: -32 + 6 = -26
-12f = -26

Divide each side by '-12'.
f = 2.166666667

Simplifying
f = 2.166666667