x-(c+a)=b

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

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

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

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

Solving
-1a + -1c + x = b

Solving for variable 'a'.

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

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

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

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

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

Divide each side by '-1'.
a = -1b + -1c + x

Simplifying
a = -1b + -1c + x