Solve: (-2/3x)-(-7⅔x) | Combining Like Terms with Negative Fractions

First, we'll perform the operations inside of the parentheses, remembering the rule:

$-(-x)=+x$

This leaves us with the exercise:

$-\frac{2}{3}x+7\frac{6}{3}x=$

Now we'll address the mixed fraction and convert it into an improper fraction:

$7\frac{6}{3}x=\frac{7\times3+6}{3}x=\frac{21+6}{3}x=\frac{27}{3}x=9x$

Now we have the exercise:

$-\frac{2}{3}x+9x=$

Finally, we'll use the distributive property to get the answer:

$9x-\frac{2}{3}x=8\frac{1}{3}x$