G(x)=-3f(2(x-1))+1

Solution for G(x)=-3f(2(x-1))+1 equation:

Simplifying
G(x) = -3f(2(x + -1)) + 1

Multiply G * x
xG = -3f(2(x + -1)) + 1

Reorder the terms:
xG = -3f(2(-1 + x)) + 1
xG = -3f((-1 * 2 + x * 2)) + 1
xG = -3f((-2 + 2x)) + 1
xG = (-2 * -3f + 2x * -3f) + 1
xG = (6f + -6fx) + 1

Reorder the terms:
xG = 1 + 6f + -6fx

Solving
xG = 1 + 6f + -6fx

Solving for variable 'x'.

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

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

Combine like terms: -6fx + 6fx = 0
6fx + xG = 1 + 6f + 0
6fx + xG = 1 + 6f

Reorder the terms:
-1 + -6f + 6fx + xG = 1 + 6f + -1 + -6f

Reorder the terms:
-1 + -6f + 6fx + xG = 1 + -1 + 6f + -6f

Combine like terms: 1 + -1 = 0
-1 + -6f + 6fx + xG = 0 + 6f + -6f
-1 + -6f + 6fx + xG = 6f + -6f

Combine like terms: 6f + -6f = 0
-1 + -6f + 6fx + xG = 0

The solution to this equation could not be determined.