Simplify 17(1/9x-1)+1/9x+1

$17 (\frac{1}{9} x - 1) + \frac{1}{9} x + 1$

Step 1

Simplify each term.

Combine $\frac{1}{9}$ and $x$ .

$17 (\frac{x}{9} - 1) + \frac{1}{9} x + 1$

Apply the distributive property.

$17 \frac{x}{9} + 17 \cdot - 1 + \frac{1}{9} x + 1$

Combine $17$ and $\frac{x}{9}$ .

$\frac{17 x}{9} + 17 \cdot - 1 + \frac{1}{9} x + 1$

Multiply $17$ by $- 1$ .

$\frac{17 x}{9} - 17 + \frac{1}{9} x + 1$

Combine $\frac{1}{9}$ and $x$ .

$\frac{17 x}{9} - 17 + \frac{x}{9} + 1$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$- 17 + 1 + \frac{17 x + x}{9}$

Add $17 x$ and $x$ .

$- 17 + 1 + \frac{18 x}{9}$

Cancel the common factor of $18$ and $9$ .

Factor $9$ out of $18 x$ .

$- 17 + 1 + \frac{9 (2 x)}{9}$

Cancel the common factors.

Factor $9$ out of $9$ .

$- 17 + 1 + \frac{9 (2 x)}{9 (1)}$

Cancel the common factor.

$- 17 + 1 + \frac{9 (2 x)}{9 \cdot 1}$

Rewrite the expression.

$- 17 + 1 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$- 17 + 1 + 2 x$

Add $- 17$ and $1$ .

$- 16 + 2 x$