Finite Math Examples

$x + 8 = \frac{2}{5}$

Step 1

Subtract $8$ from both sides of the equation.

$x = \frac{2}{5} - 8$

Step 2

To write $- 8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x = \frac{2}{5} - 8 \cdot \frac{5}{5}$

Step 3

Combine $- 8$ and $\frac{5}{5}$ .

$x = \frac{2}{5} + \frac{- 8 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{2 - 8 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 8$ by $5$ .

$x = \frac{2 - 40}{5}$

Step 5.2

Subtract $40$ from $2$ .

$x = \frac{- 38}{5}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{38}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{38}{5}$

Decimal Form:

$x = - 7.6$

Mixed Number Form:

$x = - 7 \frac{3}{5}$