Explanation:
All you have to do is distribute the 2 and -2 to the inside of the parentheses. When you multiply it out, then combine all of your like terms, but remember to include the negative sign in the second set of parentheses.
2(7x+5)-2(4x+3)
(2*7x)+(2*5)-(2*4x)-(2*3)
14x+10-8x-6
This is the correct answer, but if you want to simplify it further, the answer would be 6x+4.