Solve for h -8=9-5h

$- 8 = 9 - 5 h$

Step 1

Rewrite the equation as $9 - 5 h = - 8$ .

$9 - 5 h = - 8$

Step 2

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

Subtract $9$ from both sides of the equation.

$- 5 h = - 8 - 9$

Subtract $9$ from $- 8$ .

$- 5 h = - 17$

Step 3

Divide each term in $- 5 h = - 17$ by $- 5$ and simplify.

Divide each term in $- 5 h = - 17$ by $- 5$ .

$\frac{- 5 h}{- 5} = \frac{- 17}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 h}{- 5} = \frac{- 17}{- 5}$

Divide $h$ by $1$ .

$h = \frac{- 17}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$h = \frac{17}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$h = \frac{17}{5}$

Decimal Form:

$h = 3.4$

Mixed Number Form:

$h = 3 \frac{2}{5}$