To simplify an expression means to write it in the simplest way possible. Ideally, there would be no parentheses and everything has been 'expanded'.
We're given:
[tex]5 (4x+3)-2[/tex]
Open up the parentheses by multiplying each term by 5:
[tex]=5*4x+5*3-2\\=20x+15-2\\=20x+13[/tex]
[tex]20x+13[/tex]