f(x+1)=3(x+1)+1

Solution for f(x+1)=3(x+1)+1 equation:

Simplifying
f(x + 1) = 3(x + 1) + 1

Reorder the terms:
f(1 + x) = 3(x + 1) + 1
(1 * f + x * f) = 3(x + 1) + 1
(1f + fx) = 3(x + 1) + 1

Reorder the terms:
1f + fx = 3(1 + x) + 1
1f + fx = (1 * 3 + x * 3) + 1
1f + fx = (3 + 3x) + 1

Reorder the terms:
1f + fx = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
1f + fx = 4 + 3x

Solving
1f + fx = 4 + 3x

Solving for variable 'f'.

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

Reorder the terms:
-4 + 1f + fx + -3x = 4 + 3x + -4 + -3x

Reorder the terms:
-4 + 1f + fx + -3x = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
-4 + 1f + fx + -3x = 0 + 3x + -3x
-4 + 1f + fx + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 1f + fx + -3x = 0

The solution to this equation could not be determined.