A-b+a=c

Solution for A-b+a=c equation:

Simplifying
A + -1b + a = c

Reorder the terms:
A + a + -1b = c

Solving
A + a + -1b = c

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.
A + a + -1a + -1b = -1a + c

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

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

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

Simplifying
A = -1a + b + c