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

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

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

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

Reorder the terms:
-1ab + ax + c = c(b + x)
-1ab + ax + c = (b * c + x * c)
-1ab + ax + c = (bc + cx)

Solving
-1ab + ax + c = bc + cx

Solving for variable 'a'.

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

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

Combine like terms: c + -1c = 0
-1ab + ax + 0 = bc + -1c + cx
-1ab + ax = bc + -1c + cx

Reorder the terms:
-1ab + ax + -1bc + c + -1cx = bc + -1bc + -1c + c + cx + -1cx

Combine like terms: bc + -1bc = 0
-1ab + ax + -1bc + c + -1cx = 0 + -1c + c + cx + -1cx
-1ab + ax + -1bc + c + -1cx = -1c + c + cx + -1cx

Combine like terms: -1c + c = 0
-1ab + ax + -1bc + c + -1cx = 0 + cx + -1cx
-1ab + ax + -1bc + c + -1cx = cx + -1cx

Combine like terms: cx + -1cx = 0
-1ab + ax + -1bc + c + -1cx = 0

The solution to this equation could not be determined.