Solve for the variable $P$ in $C - R = \left(\frac{R}{P}\right) \times 200$ I just need to get $P$ on one side of the equation. Thank you
$$C - R =  \left(\frac{R}{P}\right) \times 200$$
Answered by Math Learner:
$$P = \left(\frac{200R}{C - R}\right) $$

Now I need to solve for R and I am not sure if this is correct...
From the original equation I added $R$ to both sides, then multiplied by $P$, then divided by $200$. Finally I added the 2 $R$'s, then divided both sides by $2$.
$$R = \left(\frac{CP}{400}\right) $$

Let me follow your attempt:

From the original equation I added $R$ to both sides, then multiplied by $P$, then divided by $200$. Finally I added the $2$ $R$'s, then divided both sides by $2$.

$$C=R+\left(\frac{R}{P} \right)200$$
You then multiply by $P$:
$$PC=PR+200R$$
I don't see why would I divide by $200$ at this step, also, check your current step, I can't follow your next moves closely. At this step, I would factorize $R$.
$$PC=(P+200)R$$
Finally I would divide by $P+200$.
