x(a+c)=a-x+c

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

Simplifying
x(a + c) = a + -1x + c
(a * x + c * x) = a + -1x + c
(ax + cx) = a + -1x + c

Reorder the terms:
ax + cx = a + c + -1x

Solving
ax + cx = a + c + -1x

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.
ax + -1a + cx = a + c + -1a + -1x

Reorder the terms:
-1a + ax + cx = a + c + -1a + -1x

Reorder the terms:
-1a + ax + cx = a + -1a + c + -1x

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

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

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

Reorder the terms:
-1a + ax + -1c + cx + x = c + -1c + -1cx + cx + -1x + x

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

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

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

The solution to this equation could not be determined.