# How do you solve 4( 3x + 20) + 10= 50?

May 22, 2018

$- 3. \overline{3}$ or $- 3 \frac{1}{3}$.

#### Explanation:

First, you use the distributive property.

$4 \times 3 x = 12 x$

$4 \times 20 = 80$

So now you have:

$12 x + 80 + 10 = 50$

Now you can combine like terms:

$80 + 10 = 90$

Now you have:

$12 x + 90 = 50$

Subtract $90$ from both sides to make it cancel out so you are left with:

$12 x = - 40$

You have to get $x$ by itself, so you divide by $12$ on both sides and that cancels out the $12$.

$\frac{12 x}{12} = - \frac{40}{12}$

$x = - 3.33 \text{ }$ (rounded answer)

$x = - 3. \overline{3} = - 3 \frac{1}{3}$

May 22, 2018

$x = - \frac{10}{3}$

#### Explanation:

Let's start by distributing the $4$ to both of the terms in parenthesis. Doing this, we get

$12 x + 80 + 10 = 50$

We can combine like terms on the left to get

$12 x + 90 = 50$

Next, we can subtract $90$ from both sides to get

$12 x = - 40$

We can divide both sides by $12$ to get

$x = - \frac{40}{12}$

To simplify this fraction, we can divide the top and bottom by $4$. Doing this, we get

$x = - \frac{10}{3}$

Hope this helps!