a-(b-c)=(a+c)-b

Solution for a-(b-c)=(a+c)-b equation:

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

Remove parenthesis around (a + c)
a + -1b + 1c = a + c + -1b

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

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

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

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

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

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

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

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

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

Solving
1c = c

Solving for variable 'c'.

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

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

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

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

Simplifying
0 = 0

The solution to this equation could not be determined.