Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Apply the distributive property.

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

Step 1.3

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

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

Step 1.4

Multiply $17$ by $- 1$ .

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

Step 1.5

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

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

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Add $17 x$ and $x$ .

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

Step 2.3

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

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Step 2.3.1

Factor $9$ out of $18 x$ .

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

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $9$ out of $9$ .

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

Step 2.3.2.2

Cancel the common factor.

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

Step 2.3.2.3

Rewrite the expression.

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

Step 2.3.2.4

Divide $2 x$ by $1$ .

$- 17 + 1 + 2 x$

Step 2.4

Add $- 17$ and $1$ .

$- 16 + 2 x$