xb(a+c)-(a+d)=0

Solution for xb(a+c)-(a+d)=0 equation:

Simplifying
xb(a + c) + -1(a + d) = 0
(a * bx + c * bx) + -1(a + d) = 0
(abx + bcx) + -1(a + d) = 0
abx + bcx + (a * -1 + d * -1) = 0
abx + bcx + (-1a + -1d) = 0

Reorder the terms:
-1a + abx + bcx + -1d = 0

Solving
-1a + abx + bcx + -1d = 0

Solving for variable 'a'.

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

Add '-1bcx' to each side of the equation.
-1a + abx + bcx + -1bcx + -1d = 0 + -1bcx

Combine like terms: bcx + -1bcx = 0
-1a + abx + 0 + -1d = 0 + -1bcx
-1a + abx + -1d = 0 + -1bcx
Remove the zero:
-1a + abx + -1d = -1bcx

Add 'd' to each side of the equation.
-1a + abx + -1d + d = -1bcx + d

Combine like terms: -1d + d = 0
-1a + abx + 0 = -1bcx + d
-1a + abx = -1bcx + d

Reorder the terms:
-1a + abx + bcx + -1d = -1bcx + bcx + d + -1d

Combine like terms: -1bcx + bcx = 0
-1a + abx + bcx + -1d = 0 + d + -1d
-1a + abx + bcx + -1d = d + -1d

Combine like terms: d + -1d = 0
-1a + abx + bcx + -1d = 0

The solution to this equation could not be determined.