-px + r = -8x - 2 solve for x

Answer 1

Let's start by getting all of the x terms on the same side of our equation. We'll do this by adding 2 to both sides, then adding px to both sides:

-px + r + 2 + px = -8x - 2 + 2 + px

Simplifying:

r + 2 = -8x + px

Next, we will factor out x on the right side:

r + 2 = (-8 + p)*x

which is the same as:

r + 2 = x* (p - 8)

Then divide both sides by (p - 8)

(r + 2)/(p - 8) = x

And there we have it.