Ax+b+a(x+b)=b

Solution for Ax+b+a(x+b)=b equation:

Simplifying
Ax + b + a(x + b) = b

Reorder the terms:
xA + b + a(b + x) = b
xA + b + (b * a + x * a) = b
xA + b + (ab + ax) = b

Reorder the terms:
ab + ax + b + xA = b

Add '-1b' to each side of the equation.
ab + ax + b + -1b + xA = b + -1b

Combine like terms: b + -1b = 0
ab + ax + 0 + xA = b + -1b
ab + ax + xA = b + -1b

Combine like terms: b + -1b = 0
ab + ax + xA = 0

Solving
ab + ax + xA = 0

Solving for variable 'a'.

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

Add '-1xA' to each side of the equation.
ab + ax + xA + -1xA = 0 + -1xA

Combine like terms: xA + -1xA = 0
ab + ax + 0 = 0 + -1xA
ab + ax = 0 + -1xA
Remove the zero:
ab + ax = -1xA

Combine like terms: -1xA + xA = 0
ab + ax + xA = 0

The solution to this equation could not be determined.