Simplify 2(x+7)-18x+4/5

$2 (x + 7) - 18 x + \frac{4}{5}$

Step 1

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot 7 - 18 x + \frac{4}{5}$

Multiply $2$ by $7$ .

$2 x + 14 - 18 x + \frac{4}{5}$

Step 2

Subtract $18 x$ from $2 x$ .

$- 16 x + 14 + \frac{4}{5}$

Step 3

To write $14$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 16 x + 14 \cdot \frac{5}{5} + \frac{4}{5}$

Step 4

Combine $14$ and $\frac{5}{5}$ .

$- 16 x + \frac{14 \cdot 5}{5} + \frac{4}{5}$

Step 5

Combine the numerators over the common denominator.

$- 16 x + \frac{14 \cdot 5 + 4}{5}$

Step 6

Simplify the numerator.

Multiply $14$ by $5$ .

$- 16 x + \frac{70 + 4}{5}$

Add $70$ and $4$ .

$- 16 x + \frac{74}{5}$