Algebra Examples

$c = \frac{5}{9} x (f - 32)$

Step 1

Remove parentheses.

$c = \frac{5}{9} \cdot (x (f - 32))$

Step 2

Remove parentheses.

$c = \frac{5}{9} \cdot (x (f - 32))$

Step 3

Simplify $\frac{5}{9} \cdot (x (f - 32))$ .

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Step 3.1

Apply the distributive property.

$c = \frac{5}{9} \cdot (x f + x \cdot - 32)$

Step 3.2

Move $- 32$ to the left of $x$ .

$c = \frac{5}{9} \cdot (x f - 32 \cdot x)$

Step 3.3

Apply the distributive property.

$c = \frac{5}{9} (x f) + \frac{5}{9} (- 32 x)$

Step 3.4

Multiply $\frac{5}{9} (x f)$ .

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Step 3.4.1

Combine $x$ and $\frac{5}{9}$ .

$c = \frac{x \cdot 5}{9} f + \frac{5}{9} (- 32 x)$

Step 3.4.2

Combine $\frac{x \cdot 5}{9}$ and $f$ .

$c = \frac{x \cdot 5 f}{9} + \frac{5}{9} (- 32 x)$

Step 3.5

Multiply $\frac{5}{9} (- 32 x)$ .

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Step 3.5.1

Combine $- 32$ and $\frac{5}{9}$ .

$c = \frac{x \cdot 5 f}{9} + \frac{- 32 \cdot 5}{9} x$

Step 3.5.2

Multiply $- 32$ by $5$ .

$c = \frac{x \cdot 5 f}{9} + \frac{- 160}{9} x$

Step 3.5.3

Combine $\frac{- 160}{9}$ and $x$ .

$c = \frac{x \cdot 5 f}{9} + \frac{- 160 x}{9}$

Step 3.6

Simplify each term.

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Step 3.6.1

Move $5$ to the left of $x$ .

$c = \frac{5 \cdot x f}{9} + \frac{- 160 x}{9}$

Step 3.6.2

Move the negative in front of the fraction.

$c = \frac{5 x f}{9} - \frac{160 x}{9}$

Step 3.7

Move $x$ .

$c = \frac{5 f x}{9} - \frac{160 x}{9}$