# How do you solve 13x-4(2x-5)=15?

May 29, 2016

$x = - 1$

#### Explanation:

$13 x - 4 \left(2 x - 5\right) = 15$

$13 x + \left(- 4\right) \cdot \left(2 x\right) + \left(- 4\right) \cdot \left(- 5\right) = 15$

$13 x - 8 x + 20 = 15$

$5 x + 20 = 15$

$5 x = 15 - 20$

$5 x = - 5$

$x = - \frac{5}{5}$

$x = - 1$

Aug 5, 2018

$x = - 1$

#### Explanation:

We can start by distributing the $- 4$ on the left side to get

$13 x - 8 x + 20 = 15$

We can simplify the $x$ terms on the right to get

$5 x + 20 = 15$

Next, to further isolate the $x$ term, we can subtract $20$ from both sides. We now have

$5 x = - 5$

Our last step would be to divide both sides by $5$. We get

$x = - 1$

Hope this helps!