ab-cdb=(a+b)c

Solution for ab-cdb=(a+b)c equation:

Simplifying
ab + -1cdb = (a + b) * c

Reorder the terms for easier multiplication:
ab + -1bcd = c(a + b)
ab + -1bcd = (a * c + b * c)
ab + -1bcd = (ac + bc)

Solving
ab + -1bcd = ac + bc

Solving for variable 'a'.

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

Add '-1ac' to each side of the equation.
ab + -1ac + -1bcd = ac + -1ac + bc

Combine like terms: ac + -1ac = 0
ab + -1ac + -1bcd = 0 + bc
ab + -1ac + -1bcd = bc

Add 'bcd' to each side of the equation.
ab + -1ac + -1bcd + bcd = bc + bcd

Combine like terms: -1bcd + bcd = 0
ab + -1ac + 0 = bc + bcd
ab + -1ac = bc + bcd

Reorder the terms:
ab + -1ac + -1bc + -1bcd = bc + -1bc + bcd + -1bcd

Combine like terms: bc + -1bc = 0
ab + -1ac + -1bc + -1bcd = 0 + bcd + -1bcd
ab + -1ac + -1bc + -1bcd = bcd + -1bcd

Combine like terms: bcd + -1bcd = 0
ab + -1ac + -1bc + -1bcd = 0

The solution to this equation could not be determined.