# How do you solve 17= - 13- 8x?

$17 = - 13 - 8 x$

$17 + 13 = - 8 x$

$30 = - 8 x$

$- 8 x = 30$

$x = - \frac{30}{8}$

$x = - \frac{15}{4}$

Jul 2, 2018

$x = - \frac{15}{4}$

#### Explanation:

$\text{add 13 to both sides of the equation}$

$17 + 13 = - 8 x$

$30 = - 8 x$

$\text{divde both sides by } - 8$

$\frac{30}{- 8} = x \Rightarrow x = - \frac{30}{8} = - \frac{15}{4}$

$\textcolor{b l u e}{\text{As a check}}$

$- 17 - \left(8 \times - \frac{15}{4}\right) = - 17 + 30 = 17 \leftarrow \text{correct}$

Aug 5, 2018

$x = - \frac{15}{4}$

#### Explanation:

We have the following:

$- 13 - 8 x = 17$

We can get the constants on the right by adding $13$ to both sides. We now have

$- 8 x = 30$

Our last step would be to divide both sides by $- 8$. We get

$x = - \frac{30}{8}$, which simplifies to $x = - \frac{15}{4}$.

Hope this helps!