Simplify x/5+4x+3(x-5)

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

Find the common denominator.

Write $4 x$ as a fraction with denominator $1$ .

$\frac{x}{5} + \frac{4 x}{1} + 3 (x - 5)$

Multiply $\frac{4 x}{1}$ by $\frac{5}{5}$ .

$\frac{x}{5} + \frac{4 x}{1} \cdot \frac{5}{5} + 3 (x - 5)$

Multiply $\frac{4 x}{1}$ by $\frac{5}{5}$ .

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

Write $3 (x - 5)$ as a fraction with denominator $1$ .

$\frac{x}{5} + \frac{4 x \cdot 5}{5} + \frac{3 (x - 5)}{1}$

Multiply $\frac{3 (x - 5)}{1}$ by $\frac{5}{5}$ .

$\frac{x}{5} + \frac{4 x \cdot 5}{5} + \frac{3 (x - 5)}{1} \cdot \frac{5}{5}$

Multiply $\frac{3 (x - 5)}{1}$ by $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify each term.

Multiply $5$ by $4$ .

$\frac{x + 20 x + 3 (x - 5) \cdot 5}{5}$

Apply the distributive property.

$\frac{x + 20 x + (3 x + 3 \cdot - 5) \cdot 5}{5}$

Multiply $3$ by $- 5$ .

$\frac{x + 20 x + (3 x - 15) \cdot 5}{5}$

Apply the distributive property.

$\frac{x + 20 x + 3 x \cdot 5 - 15 \cdot 5}{5}$

Multiply $5$ by $3$ .

$\frac{x + 20 x + 15 x - 15 \cdot 5}{5}$

Multiply $- 15$ by $5$ .

$\frac{x + 20 x + 15 x - 75}{5}$

Simplify terms.

Add $x$ and $20 x$ .

$\frac{21 x + 15 x - 75}{5}$

Add $21 x$ and $15 x$ .

$\frac{36 x - 75}{5}$

Factor $3$ out of $36 x - 75$ .

Factor $3$ out of $36 x$ .

$\frac{3 (12 x) - 75}{5}$

Factor $3$ out of $- 75$ .

$\frac{3 (12 x) + 3 (- 25)}{5}$

Factor $3$ out of $3 (12 x) + 3 (- 25)$ .

$\frac{3 (12 x - 25)}{5}$