Solve for x 176=-15(x-11)

$176 = - 15 (x - 11)$

Rewrite the equation as $- 15 (x - 11) = 176$ .

$- 15 (x - 11) = 176$

Divide each term in $- 15 (x - 11) = 176$ by $- 15$ and simplify.

Divide each term in $- 15 (x - 11) = 176$ by $- 15$ .

$\frac{- 15 (x - 11)}{- 15} = \frac{176}{- 15}$

Simplify the left side.

Cancel the common factor of $- 15$ .

Cancel the common factor.

$\frac{- 15 (x - 11)}{- 15} = \frac{176}{- 15}$

Divide $x - 11$ by $1$ .

$x - 11 = \frac{176}{- 15}$

Simplify the right side.

Move the negative in front of the fraction.

$x - 11 = - \frac{176}{15}$

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

Add $11$ to both sides of the equation.

$x = - \frac{176}{15} + 11$

To write $11$ as a fraction with a common denominator, multiply by $\frac{15}{15}$ .

$x = - \frac{176}{15} + 11 \cdot \frac{15}{15}$

Combine $11$ and $\frac{15}{15}$ .

$x = - \frac{176}{15} + \frac{11 \cdot 15}{15}$

Combine the numerators over the common denominator.

$x = \frac{- 176 + 11 \cdot 15}{15}$

Simplify the numerator.

Multiply $11$ by $15$ .

$x = \frac{- 176 + 165}{15}$

Add $- 176$ and $165$ .

$x = \frac{- 11}{15}$

Move the negative in front of the fraction.

$x = - \frac{11}{15}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{15}$

Decimal Form:

$x = - 0.7\overline{3}$