The following css should do exactly what you’re looking for 🙂
.tab-content {
border-left: 1px solid #ddd;
border-right: 1px solid #ddd;
padding: 10px;
}
.nav-tabs {
margin-bottom: 0;
}
margin-bottom: 0; on .nav-tabs removes the gap in between the pills and content.
The padding on .tab-content makes the content not pressed against the new borders on the left and right.