(a+1)b=a+1

Solution for (a+1)b=a+1 equation:

Simplifying
(a + 1) * b = a + 1

Reorder the terms:
(1 + a) * b = a + 1

Reorder the terms for easier multiplication:
b(1 + a) = a + 1
(1 * b + a * b) = a + 1

Reorder the terms:
(ab + 1b) = a + 1
(ab + 1b) = a + 1

Reorder the terms:
ab + 1b = 1 + a

Solving
ab + 1b = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
ab + -1a + 1b = 1 + a + -1a

Reorder the terms:
-1a + ab + 1b = 1 + a + -1a

Combine like terms: a + -1a = 0
-1a + ab + 1b = 1 + 0
-1a + ab + 1b = 1

Add '-1b' to each side of the equation.
-1a + ab + 1b + -1b = 1 + -1b

Combine like terms: 1b + -1b = 0
-1a + ab + 0 = 1 + -1b
-1a + ab = 1 + -1b

Reorder the terms:
-1 + -1a + ab + b = 1 + -1b + -1 + b

Reorder the terms:
-1 + -1a + ab + b = 1 + -1 + -1b + b

Combine like terms: 1 + -1 = 0
-1 + -1a + ab + b = 0 + -1b + b
-1 + -1a + ab + b = -1b + b

Combine like terms: -1b + b = 0
-1 + -1a + ab + b = 0

The solution to this equation could not be determined.