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

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


Simplifying
f(x) = 3x + -8x + -2f(-1x)

Multiply f * x
fx = 3x + -8x + -2f(-1x)

Remove parenthesis around (-1x)
fx = 3x + -8x + -2f * -1x

Reorder the terms for easier multiplication:
fx = 3x + -8x + -2 * -1f * x

Multiply -2 * -1
fx = 3x + -8x + 2f * x

Multiply f * x
fx = 3x + -8x + 2fx

Reorder the terms:
fx = 2fx + 3x + -8x

Combine like terms: 3x + -8x = -5x
fx = 2fx + -5x

Solving
fx = 2fx + -5x

Solving for variable 'f'.

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

Add '-2fx' to each side of the equation.
fx + -2fx = 2fx + -2fx + -5x

Combine like terms: fx + -2fx = -1fx
-1fx = 2fx + -2fx + -5x

Combine like terms: 2fx + -2fx = 0
-1fx = 0 + -5x
-1fx = -5x

Divide each side by '-1x'.
f = 5

Simplifying
f = 5

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