f(x+c)=2x+2c

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Solution for f(x+c)=2x+2c equation:


Simplifying
f(x + c) = 2x + 2c

Reorder the terms:
f(c + x) = 2x + 2c
(c * f + x * f) = 2x + 2c
(cf + fx) = 2x + 2c

Reorder the terms:
cf + fx = 2c + 2x

Solving
cf + fx = 2c + 2x

Solving for variable 'c'.

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

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

Reorder the terms:
-2c + cf + fx = 2c + -2c + 2x

Combine like terms: 2c + -2c = 0
-2c + cf + fx = 0 + 2x
-2c + cf + fx = 2x

Add '-1fx' to each side of the equation.
-2c + cf + fx + -1fx = -1fx + 2x

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

Reorder the terms:
-2c + cf + fx + -2x = -1fx + fx + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2c + cf + fx + -2x = 0

The solution to this equation could not be determined.

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