How do you solve 2(3x +1)-9x= -1?

Jul 29, 2016

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

Explanation:

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

$2 \left(3 x + 1\right) = 2 \cdot 3 x + 2 \cdot 1 = 6 x + 2$

We now have $6 x + 2 - 9 x = - 1$.

Next, let's combine like terms by subtracting 9x from 6x:

$2 - 3 x = - 1$

To get our answer, let's subtract 2 from each side...

$- 3 x = - 3$

...and divide each side by -3:

$x = 1$