Pre-Algebra Examples

$4 - 3 = 5 (f + 5)$

Step 1

Rewrite the equation as $5 (f + 5) = 4 - 3$ .

$5 (f + 5) = 4 - 3$

Step 2

Subtract $3$ from $4$ .

$5 (f + 5) = 1$

Step 3

Divide each term in $5 (f + 5) = 1$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 (f + 5) = 1$ by $5$ .

$\frac{5 (f + 5)}{5} = \frac{1}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 (f + 5)}{5} = \frac{1}{5}$

Step 3.2.1.2

Divide $f + 5$ by $1$ .

$f + 5 = \frac{1}{5}$

Step 4

Move all terms not containing $f$ to the right side of the equation.

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Step 4.1

Subtract $5$ from both sides of the equation.

$f = \frac{1}{5} - 5$

Step 4.2

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

$f = \frac{1}{5} - 5 \cdot \frac{5}{5}$

Step 4.3

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

$f = \frac{1}{5} + \frac{- 5 \cdot 5}{5}$

Step 4.4

Combine the numerators over the common denominator.

$f = \frac{1 - 5 \cdot 5}{5}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $- 5$ by $5$ .

$f = \frac{1 - 25}{5}$

Step 4.5.2

Subtract $25$ from $1$ .

$f = \frac{- 24}{5}$

Step 4.6

Move the negative in front of the fraction.

$f = - \frac{24}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$f = - \frac{24}{5}$

Decimal Form:

$f = - 4.8$

Mixed Number Form:

$f = - 4 \frac{4}{5}$