ab(x+c)-(x+d)=0

Solution for ab(x+c)-(x+d)=0 equation:

Simplifying
ab(x + c) + -1(x + d) = 0

Reorder the terms:
ab(c + x) + -1(x + d) = 0
(c * ab + x * ab) + -1(x + d) = 0
(abc + abx) + -1(x + d) = 0

Reorder the terms:
abc + abx + -1(d + x) = 0
abc + abx + (d * -1 + x * -1) = 0
abc + abx + (-1d + -1x) = 0

Solving
abc + abx + -1d + -1x = 0

Solving for variable 'a'.

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

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

Combine like terms: -1d + d = 0
abc + abx + 0 + -1x = 0 + d
abc + abx + -1x = 0 + d
Remove the zero:
abc + abx + -1x = d

Add 'x' to each side of the equation.
abc + abx + -1x + x = d + x

Combine like terms: -1x + x = 0
abc + abx + 0 = d + x
abc + abx = d + x

Reorder the terms:
abc + abx + -1d + -1x = d + -1d + x + -1x

Combine like terms: d + -1d = 0
abc + abx + -1d + -1x = 0 + x + -1x
abc + abx + -1d + -1x = x + -1x

Combine like terms: x + -1x = 0
abc + abx + -1d + -1x = 0

The solution to this equation could not be determined.