Solve for C S=C+RC

$S = C + R C$

Rewrite the equation as $C + R C = S$ .

$C + R C = S$

Factor $C$ out of $C + R C$ .

Factor $C$ out of $C^{1}$ .

$C \cdot 1 + R C = S$

Factor $C$ out of $R C$ .

$C \cdot 1 + C R = S$

Factor $C$ out of $C \cdot 1 + C R$ .

$C (1 + R) = S$

Divide each term in $C (1 + R) = S$ by $1 + R$ and simplify.

Divide each term in $C (1 + R) = S$ by $1 + R$ .

$\frac{C (1 + R)}{1 + R} = \frac{S}{1 + R}$

Simplify the left side.

Cancel the common factor of $1 + R$ .

Cancel the common factor.

$\frac{C (1 + R)}{1 + R} = \frac{S}{1 + R}$

Divide $C$ by $1$ .

$C = \frac{S}{1 + R}$