f(x-y)+f(2x+y)=6x+10

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Solution for f(x-y)+f(2x+y)=6x+10 equation: 


Simplifying
f(x + -1y) + f(2x + y) = 6x + 10
(x * f + -1y * f) + f(2x + y) = 6x + 10
(fx + -1fy) + f(2x + y) = 6x + 10
fx + -1fy + (2x * f + y * f) = 6x + 10
fx + -1fy + (2fx + fy) = 6x + 10

Reorder the terms:
fx + 2fx + -1fy + fy = 6x + 10

Combine like terms: fx + 2fx = 3fx
3fx + -1fy + fy = 6x + 10

Combine like terms: -1fy + fy = 0
3fx + 0 = 6x + 10
3fx = 6x + 10

Reorder the terms:
3fx = 10 + 6x

Solving
3fx = 10 + 6x

Solving for variable 'f'.

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

Divide each side by '3x'.
f = 3.333333333x-1 + 2

Simplifying
f = 3.333333333x-1 + 2

Reorder the terms:
f = 2 + 3.333333333x-1

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