4f(x)=2(4f)(x)+1

Solution for 4f(x)=2(4f)(x)+1 equation:

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

Multiply f * x
4fx = 2(4f)(x) + 1

Remove parenthesis around (4f)
4fx = 2 * 4f(x) + 1

Multiply 2 * 4
4fx = 8f * x + 1

Multiply f * x
4fx = 8fx + 1

Reorder the terms:
4fx = 1 + 8fx

Solving
4fx = 1 + 8fx

Solving for variable 'f'.

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

Add '-8fx' to each side of the equation.
4fx + -8fx = 1 + 8fx + -8fx

Combine like terms: 4fx + -8fx = -4fx
-4fx = 1 + 8fx + -8fx

Combine like terms: 8fx + -8fx = 0
-4fx = 1 + 0
-4fx = 1

Divide each side by '-4x'.
f = -0.25x-1

Simplifying
f = -0.25x-1