# How do you solve -2(x-4)=15?

Jul 13, 2015

$x = \frac{7}{- 2}$

#### Explanation:

We are given $- 2 \left(x - 4\right) = 15$

First, let's multiply the $- 2$ into what's inside the parenthesis:

$- 2 \left(x - 4\right) = 15$

$- 2 x - 4 \cdot \left(- 2\right) = 15$

$- 2 x + 8 = 15$

Now, let's subtract $8$ from both sides:

$- 2 x + 8 = 15$

$- 2 x = 15 - 8$

$- 2 x = 7$

Now, just divide both sides by $- 2$

$- 2 x = 7$

$x = \frac{7}{- 2}$

Let's check and see if our answer is correct
by plugging in $x = \frac{7}{- 2}$ into $- 2 \left(x - 4\right) = 15$

$- 2 \left(x - 4\right) = 15$

$- 2 \left(- \frac{7}{2} - 4\right) = 15$

$- 2 \left(- \frac{7}{2} - \frac{8}{2}\right) = 15$

$- 2 \left(- \frac{15}{2}\right) = 15$

$15 = 15$