I have this problem:

$\displaystyle 6+2[(-8)-3(2x+4)]+10x$

And the problem is just using the distributive property to simplify this expression.

Here's the steps I've worked to solve this:

$\displaystyle 6+2[(-8)-6x+12]+10x$

$\displaystyle 6+(-16)-12x+24+10x$

$\displaystyle 6+(-16)+24-12x+10x$

$\displaystyle 14-22x$

But my answer is apparently wrong. My TI-89 calculator simplifies it out to be $\displaystyle 107-2x$.

I just want to double-check the rules for simplifying.