Solve for r 2x=C/r

$2 x = \frac{C}{r}$

Step 1

Rewrite the equation as $\frac{C}{r} = 2 x$ .

$\frac{C}{r} = 2 x$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$r, 1$

The LCM of one and any expression is the expression.

$r$

Step 3

Multiply each term in $\frac{C}{r} = 2 x$ by $r$ to eliminate the fractions.

Multiply each term in $\frac{C}{r} = 2 x$ by $r$ .

$\frac{C}{r} r = 2 x r$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{C}{r} r = 2 x r$

Rewrite the expression.

$C = 2 x r$

Step 4

Solve the equation.

Rewrite the equation as $2 x r = C$ .

$2 x r = C$

Divide each term in $2 x r = C$ by $2 x$ and simplify.

Divide each term in $2 x r = C$ by $2 x$ .

$\frac{2 x r}{2 x} = \frac{C}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x r}{2 x} = \frac{C}{2 x}$

Rewrite the expression.

$\frac{x r}{x} = \frac{C}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x r}{x} = \frac{C}{2 x}$

Divide $r$ by $1$ .

$r = \frac{C}{2 x}$