=f(x)+g(x)

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Solution for =f(x)+g(x) equation: 


Simplifying
0 = f(x) + g(x)

Multiply f * x
0 = fx + g(x)

Multiply g * x
0 = fx + gx

Solving
0 = fx + gx

Solving for variable 'f'.

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

Add '-1fx' to each side of the equation.
0 + -1fx = fx + -1fx + gx
Remove the zero:
-1fx = fx + -1fx + gx

Combine like terms: fx + -1fx = 0
-1fx = 0 + gx
-1fx = gx

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

Simplifying
f = -1g

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