To solve this, we must multiply what's outside of the parentheses by what is inside.
For the first parenthetic set, we can see that we are multiplying the values by 2, so we do it this way:
[tex]2( \frac{3}{5}x + 3) = (2 * \frac{3}{5}x) + (2 * 3) = \frac{6}{5}x + 6[/tex]
For the second part of the expression, we don't see any value, but we understand that there is a negative 1 that we don't see, because of the minus sign between the two parenthetic sets.
So we end up with this:
[tex]- (\frac{2}{3}x - 1) = (-1 * \frac{2}{3}x) + (-1 * -1) = (\frac{-2}{3}x + 1)[/tex]
So, without parentheses, the expression looks like this:
[tex]\frac{6}{5}x + 6 + \frac{-2}{3}x + 1[/tex]
Which could be further reduced to
[tex] \frac{8}{15}x + 7 [/tex]
Hope that helped! =)
