Hi, I am in Mint 17 or 18, and on a desktop, I followed the instructions from this 2, 1/2 minute video:
https://www.youtube.com/watch?v=Dsi3Zi1ZoHc
I have seopwersuite in my desktop now, I unpacked it with a terminal command from the video, and I click on the file I get two files "distr" and "Install.sh", what need I do next to get this program running?

In another option, open as administrator, using my su password, I tried to run, but got this:
#!/bin/bash

if [ $UID != "0" ] ; then
echo -e "You need to be ${red}ROOT${coloroff} to run this script, sorry..."
echo -e "Press ${blue}ENTER${coloroff} to exit the installer."
read
exit 1
fi

jversion=$(java -version 2>&1 | grep -i version)

if [ -z "$jversion" ]; then
echo "This software is built using Java technology,"
echo "so please take a moment to install Java to be able to use the software on your computer."
echo ""
exit 1
fi

jv=$(java -version 2>&1 | grep -i version | cut -d'"' -f2 | cut -d'.' -f1-2)

if [ $jv == "1.6" ] || [ $jv == "1.7" ]; then
echo "Your version of Java is not supported."
echo "Please update your Java to version 1.8 or newer to be able to use the software on your computer."
exit 1
fi

cd distr/commons/bin/

java -jar macinstall.jar seopowersuite

You need to execute the install.sh.

As root chmod +x install.sh

And then

./install.sh

bren@bren-ThinkCentre-M92p ~ $ su
Password:
bren-ThinkCentre-M92p bren # chmod +x install.sh
chmod: cannot access 'install.sh': No such file or directory
bren-ThinkCentre-M92p bren # ./install.sh
bash: ./install.sh: No such file or directory
bren-ThinkCentre-M92p bren #

My terminal can't find it. Maybe wrong name.

it is on your desktop, so you need to cd first:

adding a little bit to what @pan64 said:

First, always be inside of the same directory that the file you are going to run as local configure/compile/install "script".
issue the chmod +x as stated to make it executable. user or root can do this. But if root owns it then root has to add x to it.
if needing to run it with root permissions this is as simple as:

Usually, you should download you files to /home/<your name>/Downloads/

Just a note that the tilde symbol ~ is equivalent to /home/<your user name>

So, cd ~/Desktop will also do the trick.

The Linux terminal is case-sensitive. If the file is really called "Install.sh" (with a capital "I") then type that instead of "install.sh" (lower-case "i").

Also make sure you cd (change directory) into the correct folder (possibly ~/Downloads) as mentioned above.

What I do is hight light the word in ma' term then middle click on it to get the correct spelling and it saves (typing) time too.