Solve for s 10(s-5)=-133

$10 (s - 5) = - 133$

Step 1

Divide each term in $10 (s - 5) = - 133$ by $10$ and simplify.

Divide each term in $10 (s - 5) = - 133$ by $10$ .

$\frac{10 (s - 5)}{10} = \frac{- 133}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 (s - 5)}{10} = \frac{- 133}{10}$

Divide $s - 5$ by $1$ .

$s - 5 = \frac{- 133}{10}$

Simplify the right side.

Move the negative in front of the fraction.

$s - 5 = - \frac{133}{10}$

Step 2

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

Add $5$ to both sides of the equation.

$s = - \frac{133}{10} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$s = - \frac{133}{10} + 5 \cdot \frac{10}{10}$

Combine $5$ and $\frac{10}{10}$ .

$s = - \frac{133}{10} + \frac{5 \cdot 10}{10}$

Combine the numerators over the common denominator.

$s = \frac{- 133 + 5 \cdot 10}{10}$

Simplify the numerator.

Multiply $5$ by $10$ .

$s = \frac{- 133 + 50}{10}$

Add $- 133$ and $50$ .

$s = \frac{- 83}{10}$

Move the negative in front of the fraction.

$s = - \frac{83}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$s = - \frac{83}{10}$

Decimal Form:

$s = - 8.3$

Mixed Number Form:

$s = - 8 \frac{3}{10}$