You can use a table to get the buttons next to each other. Just put each in its own ‘<td>’ and you’ll be able to get them next to each other.
When using the table, you do need to set the borders to zero like this:
<table style="border:0">
<tr>
<td style="border:0">[maxbutton id="1"]</td>
<td style="border:0">[maxbutton id="2"]</td>
</tr>
</table>
…otherwise there may be a thin boarder showing behind the buttons.
WP 3.9.1 Chrome; Firefox & IE11
=Alan R.
alternatively try the Button Maker plugin, which does it automatically:
https://ww.wp.xz.cn/plugins/button-maker/
No need to switch to Button Maker. If the tables aren’t working you can always switch the button Alignment to display: inline-block at the bottom of the button edit screen. That will also get them lined up in one row.