Solve for R C=R+Rxt

$C = R + R x t$

Step 1

Rewrite the equation as $R + R x t = C$ .

$R + R x t = C$

Step 2

Factor $R$ out of $R + R x t$ .

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

$R \cdot 1 + R x t = C$

Factor $R$ out of $R x t$ .

$R \cdot 1 + R (x t) = C$

Factor $R$ out of $R \cdot 1 + R (x t)$ .

$R (1 + x t) = C$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $1 + x t$ .

Cancel the common factor.

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

Divide $R$ by $1$ .

$R = \frac{C}{1 + x t}$