g(x)=-2x-2g(-2x)

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Solution for g(x)=-2x-2g(-2x) equation:


Simplifying
g(x) = -2x + -2g(-2x)

Multiply g * x
gx = -2x + -2g(-2x)

Remove parenthesis around (-2x)
gx = -2x + -2g * -2x

Reorder the terms for easier multiplication:
gx = -2x + -2 * -2g * x

Multiply -2 * -2
gx = -2x + 4g * x

Multiply g * x
gx = -2x + 4gx

Reorder the terms:
gx = 4gx + -2x

Solving
gx = 4gx + -2x

Solving for variable 'g'.

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

Add '-4gx' to each side of the equation.
gx + -4gx = 4gx + -4gx + -2x

Combine like terms: gx + -4gx = -3gx
-3gx = 4gx + -4gx + -2x

Combine like terms: 4gx + -4gx = 0
-3gx = 0 + -2x
-3gx = -2x

Divide each side by '-3x'.
g = 0.6666666667

Simplifying
g = 0.6666666667

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