Solve for 'x' (with 4 variables and 1 equation)

[PhizKid]

Homework Statement

$$ac + bc = (a - c)(a + b) - xabcd^2$$

Homework Equations

Various factoring rules (difference of two squares, etc.)

The Attempt at a Solution

I got it expanded to:

$$ac + bc = a^2 + ab - ac - bc - xabcd^2\\0 = a^2 + ab - 2ac - bc - bd - xabcd^2$$

I tried factoring different ways, but it didn't really get me anywhere, and there aren't any "special" factoring rules that I can identify immediately here.

Never mind, I wrote down the problem incorrectly

 

[Mentallic]

Homework Statement

$$ac + bc = (a - c)(a + b) - xabcd^2$$

Homework Equations

Various factoring rules (difference of two squares, etc.)

The Attempt at a Solution

I got it expanded to:

$$ac + bc = a^2 + ab - ac - bc - xabcd^2\\0 = a^2 + ab - 2ac - bc - bd - xabcd^2$$

I tried factoring different ways, but it didn't really get me anywhere, and there aren't any "special" factoring rules that I can identify immediately here.

Never mind, I wrote down the problem incorrectly

Think of this:
What if you were asked to make x the subject (in other words, solve for x by putting it alone on one side of the equation) in the equation

$$a=b-cx$$

Can you solve this?