Answer :

konrad509
[tex]|4x - 7| = 13\\ 4x-7=13 \vee 4x-7=-13\\ 4x=20 \vee 4x=-6\\ x=5 \vee x=-\frac{6}{4}=-\frac{3}{2}[/tex]
apologiabiology
 the absolut value signs mean that whatever is inside of them, you make it positive.  so 4x-7 could equal 13 or -13 or both

so 4x-7=13
add 7 to both sides
4x=20
divide both sides by 4
x=5
this is one solution

4x-7=-13
add 7 to both sides
4x=-6
divide both sides by 4
x=-1.5

x=5 or -1.5