f(x)+g(x)=x+6+4x+6

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


Simplifying
f(x) + g(x) = x + 6 + 4x + 6

Multiply f * x
fx + g(x) = x + 6 + 4x + 6

Multiply g * x
fx + gx = x + 6 + 4x + 6

Reorder the terms:
fx + gx = 6 + 6 + x + 4x

Combine like terms: 6 + 6 = 12
fx + gx = 12 + x + 4x

Combine like terms: x + 4x = 5x
fx + gx = 12 + 5x

Solving
fx + gx = 12 + 5x

Solving for variable 'f'.

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

Add '-1gx' to each side of the equation.
fx + gx + -1gx = 12 + -1gx + 5x

Combine like terms: gx + -1gx = 0
fx + 0 = 12 + -1gx + 5x
fx = 12 + -1gx + 5x

Divide each side by 'x'.
f = 12x-1 + -1g + 5

Simplifying
f = 12x-1 + -1g + 5

Reorder the terms:
f = 5 + -1g + 12x-1

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