Simplify 5/8x+1/2(1/4x+10)

$\frac{5}{8} x + \frac{1}{2} (\frac{1}{4} x + 10)$

Simplify each term.

Combine $\frac{5}{8}$ and $x$ .

$\frac{5 x}{8} + \frac{1}{2} \cdot (\frac{1}{4} x + 10)$

Combine $\frac{1}{4}$ and $x$ .

$\frac{5 x}{8} + \frac{1}{2} \cdot (\frac{x}{4} + 10)$

Apply the distributive property.

$\frac{5 x}{8} + \frac{1}{2} \cdot \frac{x}{4} + \frac{1}{2} \cdot 10$

Multiply $\frac{1}{2} \cdot \frac{x}{4}$ .

Multiply $\frac{1}{2}$ by $\frac{x}{4}$ .

$\frac{5 x}{8} + \frac{x}{2 \cdot 4} + \frac{1}{2} \cdot 10$

Multiply $2$ by $4$ .

$\frac{5 x}{8} + \frac{x}{8} + \frac{1}{2} \cdot 10$

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{5 x}{8} + \frac{x}{8} + \frac{1}{2} \cdot (2 (5))$

Cancel the common factor.

$\frac{5 x}{8} + \frac{x}{8} + \frac{1}{2} \cdot (2 \cdot 5)$

Rewrite the expression.

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

Simplify terms.

Combine the numerators over the common denominator.

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

Add $5 x$ and $x$ .

$5 + \frac{6 x}{8}$

Cancel the common factor of $6$ and $8$ .

Factor $2$ out of $6 x$ .

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

Cancel the common factors.

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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