# How do you solve 2/5(10x + 25) = -10 - 4(x +3)?

Jul 29, 2016

Use the distributive property, then solve for $x$.

#### Explanation:

The distributive property states that $a \left(b + c\right) = a \cdot b + a \cdot c$. Let's use this on the two parenthetical problems:

$\frac{2}{5} \left(10 x + 25\right) = \frac{2}{5} \cdot 10 x + \frac{2}{5} \cdot 25 = 4 x + 10$

$- 4 \left(x - 3\right) = - 4 \cdot x \pm 4 \cdot - 3 = - 4 x + 12$

We now have $4 x + 10 = - 10 - 4 x + 12$.

Let's combine like terms to make this easier:

$4 x + 10 = - 4 x + 2$

Next, let's isolate $x$ by subtracting 10 from each side...

$4 x = - 4 x - 8$

...and adding 4x to each side:

$8 x = - 8$

Finally, let's divide each side by 8:

$x = - 1$