d(-3 + x) = kx + 9
- Distribute d inside the parentheses.
-3d + dx = kx + 9
- Subtract kx from both sides.
-3d + dx - kx = 9
dx - kx = 9 + 3d
x(d - k) = 9 + 3d
- Divide both sides by d - k.
x = [tex] \frac{9+3d}{d-k} [/tex]
- If you want to simplify this even more, factor 3 out of the numerator.
x = [tex] \frac{3(d + 3)}{d-k} [/tex]