a+1=a+b

Solution for a+1=a+b equation:

Simplifying
a + 1 = a + b

Reorder the terms:
1 + a = a + b

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

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

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

Solving
1 = b

Solving for variable 'b'.

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

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

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

Add '-1' to each side of the equation.
1 + -1 + -1b = 0 + -1

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

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

Divide each side by '-1'.
b = 1

Simplifying
b = 1