a*(x+b)=c*(1-bx)

Solution for a*(x+b)=c*(1-bx) equation:

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

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

Reorder the terms:
ab + ax = (-1bcx + 1c)
ab + ax = (-1bcx + 1c)

Solving
ab + ax = -1bcx + 1c

Solving for variable 'a'.

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

Reorder the terms:
ab + ax + bcx + -1c = -1bcx + bcx + 1c + -1c

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

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

The solution to this equation could not be determined.