Simplify ((3x+5)/(8x))(2x)

$(\frac{3 x + 5}{8 x}) (2 x)$

Step 1

Rewrite using the commutative property of multiplication.

$2 \frac{3 x + 5}{8 x} x$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $8 x$ .

$2 \frac{3 x + 5}{2 (4 x)} x$

Cancel the common factor.

$2 \frac{3 x + 5}{2 (4 x)} x$

Rewrite the expression.

$\frac{3 x + 5}{4 x} x$

Step 3

Cancel the common factor of $x$ .

Factor $x$ out of $4 x$ .

$\frac{3 x + 5}{x \cdot 4} x$

Cancel the common factor.

$\frac{3 x + 5}{x \cdot 4} x$

Rewrite the expression.

$\frac{3 x + 5}{4}$