expand and simplify: 6(2x-3)-2(2x+1) 2(5x+3)-2(2x-3)?

6(2x - 3) - 2(2x + 1)
= 12x - 18 - 4x - 2
= (12x - 4x) - (18 + 2)
= 8x - 20

2(5x + 3)-2(2x - 3)
= 10x + 6 - 4x + 6
= (10x - 4x) + (6 + 6)
= 6x + 12

6(2x - 3) - 2(2x + 1)
= 8x - 20

2(5x + 3) - 2(2x - 3)
= 6x + 12

I'll do the first one. You can do the second one on your own following the same steps:

6(2x - 3) - 2(2x + 1)

You have two sets of products of a constant and a binomial. So do expand this, each set you multiply the constant by each term in the binomial, then add up the results. So we have 6 in the first and -2 in the second. Multiply these to get:

12x - 18 - 4x - 2

Now combine like terms:

8x - 20