# How do you solve 3-2x=9?

Jul 3, 2015

The answer to the equation is $x = - 3$

#### Explanation:

The thing you always want to do in linear equations, is try to seperate the $x$.
The only thing standing in the way at the moment is that $3$. We can just remove it by subtracting $3$. But, this is only allowed if you also subtract it on the right side of the equation:

$3 - 2 x = 9$
3 \color(blue)(-3)-2x=9\color(blue)(-3
$- 2 x = 6$
Now, there's this $- 2$ that keeps sticking to the $x$. We can also remove that, by dividing by $- 2$.But, this is only allowed if you also divide on the right side of the equation:
$\frac{- 2 x}{\setminus} \textcolor{g r e e n}{- 2} = \frac{6}{\setminus} \textcolor{g r e e n}{- 2}$
$x = - 3$