Solve for x 32/(2x)=8

$\frac{32}{2 x} = 8$

Step 1

Reduce the expression $\frac{32}{2 x}$ by cancelling the common factors.

Factor $2$ out of $32$ .

$\frac{2 \cdot 16}{2 x} = 8$

Factor $2$ out of $2 x$ .

$\frac{2 \cdot 16}{2 (x)} = 8$

Cancel the common factor.

$\frac{2 \cdot 16}{2 x} = 8$

Rewrite the expression.

$\frac{16}{x} = 8$

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.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{16}{x} = 8$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{16}{x} = 8$ by $x$ .

$\frac{16}{x} x = 8 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{16}{x} x = 8 x$

Rewrite the expression.

$16 = 8 x$

Step 4

Solve the equation.

Rewrite the equation as $8 x = 16$ .

$8 x = 16$

Divide each term in $8 x = 16$ by $8$ and simplify.

Divide each term in $8 x = 16$ by $8$ .

$\frac{8 x}{8} = \frac{16}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{16}{8}$

Divide $x$ by $1$ .

$x = \frac{16}{8}$

Simplify the right side.

Divide $16$ by $8$ .

$x = 2$