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

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

Simplifying
a(X + c) = b(x + -1c)
(X * a + c * a) = b(x + -1c)
(aX + ac) = b(x + -1c)

Reorder the terms:
aX + ac = b(-1c + x)
aX + ac = (-1c * b + x * b)
aX + ac = (-1bc + bx)

Solving
aX + ac = -1bc + bx

Solving for variable 'a'.

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

Reorder the terms:
aX + ac + bc + -1bx = -1bc + bc + bx + -1bx

Combine like terms: -1bc + bc = 0
aX + ac + bc + -1bx = 0 + bx + -1bx
aX + ac + bc + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
aX + ac + bc + -1bx = 0

The solution to this equation could not be determined.