(F+g)(x)=(6x+2)+(2x+4)

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Solution for (F+g)(x)=(6x+2)+(2x+4) equation: 


Simplifying
(F + g)(x) = (6x + 2) + (2x + 4)

Reorder the terms for easier multiplication:
x(F + g) = (6x + 2) + (2x + 4)
(F * x + g * x) = (6x + 2) + (2x + 4)

Reorder the terms:
(gx + xF) = (6x + 2) + (2x + 4)
(gx + xF) = (6x + 2) + (2x + 4)

Reorder the terms:
gx + xF = (2 + 6x) + (2x + 4)

Remove parenthesis around (2 + 6x)
gx + xF = 2 + 6x + (2x + 4)

Reorder the terms:
gx + xF = 2 + 6x + (4 + 2x)

Remove parenthesis around (4 + 2x)
gx + xF = 2 + 6x + 4 + 2x

Reorder the terms:
gx + xF = 2 + 4 + 6x + 2x

Combine like terms: 2 + 4 = 6
gx + xF = 6 + 6x + 2x

Combine like terms: 6x + 2x = 8x
gx + xF = 6 + 8x

Solving
gx + xF = 6 + 8x

Solving for variable 'g'.

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

Add '-1xF' to each side of the equation.
gx + xF + -1xF = 6 + 8x + -1xF

Combine like terms: xF + -1xF = 0
gx + 0 = 6 + 8x + -1xF
gx = 6 + 8x + -1xF

Divide each side by 'x'.
g = 6x-1 + 8 + -1F

Simplifying
g = 6x-1 + 8 + -1F

Reorder the terms:
g = 8 + -1F + 6x-1

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