Calculus Examples

$7 + \frac{17}{9} \cdot (x - 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 + \frac{17}{9} x + \frac{17}{9} \cdot - 5$

Step 1.2

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

$7 + \frac{17 x}{9} + \frac{17}{9} \cdot - 5$

Step 1.3

Multiply $\frac{17}{9} \cdot - 5$ .

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Step 1.3.1

Combine $\frac{17}{9}$ and $- 5$ .

$7 + \frac{17 x}{9} + \frac{17 \cdot - 5}{9}$

Step 1.3.2

Multiply $17$ by $- 5$ .

$7 + \frac{17 x}{9} + \frac{- 85}{9}$

Step 1.4

Move the negative in front of the fraction.

$7 + \frac{17 x}{9} - \frac{85}{9}$

Step 2

To write $7$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{17 x}{9} + 7 \cdot \frac{9}{9} - \frac{85}{9}$

Step 3

Combine $7$ and $\frac{9}{9}$ .

$\frac{17 x}{9} + \frac{7 \cdot 9}{9} - \frac{85}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{17 x}{9} + \frac{7 \cdot 9 - 85}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $7$ by $9$ .

$\frac{17 x}{9} + \frac{63 - 85}{9}$

Step 5.2

Subtract $85$ from $63$ .

$\frac{17 x}{9} + \frac{- 22}{9}$

Step 6

Move the negative in front of the fraction.

$\frac{17 x}{9} - \frac{22}{9}$