(ab+x)+bc=ad

Solution for (ab+x)+bc=ad equation:

Simplifying
(ab + x) + bc = ad

Remove parenthesis around (ab + x)
ab + x + bc = ad

Reorder the terms:
ab + bc + x = ad

Solving
ab + bc + x = ad

Solving for variable 'a'.

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

Add '-1ad' to each side of the equation.
ab + bc + -1ad + x = ad + -1ad

Reorder the terms:
ab + -1ad + bc + x = ad + -1ad

Combine like terms: ad + -1ad = 0
ab + -1ad + bc + x = 0

Add '-1bc' to each side of the equation.
ab + -1ad + bc + -1bc + x = 0 + -1bc

Combine like terms: bc + -1bc = 0
ab + -1ad + 0 + x = 0 + -1bc
ab + -1ad + x = 0 + -1bc
Remove the zero:
ab + -1ad + x = -1bc

Add '-1x' to each side of the equation.
ab + -1ad + x + -1x = -1bc + -1x

Combine like terms: x + -1x = 0
ab + -1ad + 0 = -1bc + -1x
ab + -1ad = -1bc + -1x

Reorder the terms:
ab + -1ad + bc + x = -1bc + bc + -1x + x

Combine like terms: -1bc + bc = 0
ab + -1ad + bc + x = 0 + -1x + x
ab + -1ad + bc + x = -1x + x

Combine like terms: -1x + x = 0
ab + -1ad + bc + x = 0

The solution to this equation could not be determined.