1. Install pre-requisite

sudo add-apt-repository ppa:ondrej/php
sudo apt-get install software-properties-common
sudo apt-get install python-software-properties
sudo apt-get install zip unzip
wget -q -O- http://nginx.org/keys/nginx_signing.key | sudo apt-key add -

2. Install Nginx and PHP7

sudo apt-get update
sudo apt-get install nginx-full php7.0 php7.0-mysql php7.0-fpm php7.0-mbstring php7.0-xml php7.0-curl php7.0-zip

3. Setup Nginx

sudo pico /etc/nginx/nginx.conf
client_max_body_size 30M;
sudo pico /etc/nginx/sites-available/default
server {
    listen 80 default_server;
    listen [::]:80 default_server;

    root /path/to/app/public;
    index index.php index.html index.htm;

    server_name server_name;
    charset utf-8;

    location / {
        try_files $uri $uri/ /index.php?$query_string;
    }

    location ~ \.php$ {
        try_files $uri /index.php =404;
        fastcgi_split_path_info ^(.+\.php)(/.+)$;
        fastcgi_pass unix:/run/php/php7.0-fpm.sock;
        fastcgi_index index.php;
        fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
        include fastcgi_params;
    }

    location ~ /\.ht {
        deny all;
    }

}

4. Setup PHP7

sudo pico /etc/php/7.0/fpm/php.ini
cgi.fix_pathinfo=0
upload_max_filesize=30M

5. Install MySQL client

sudo apt-get install libmysqlclient-dev mysql-client

6. Install Composer 

cd ~
curl -sS https://getcomposer.org/installer | php
sudo mv composer.phar /usr/local/bin/composer

7. Clone Application Files

git clone path/to/app.git

8. Install Laravel

cd /path/to/app
composer install

9. Setup Laravel env file

pico .env (or php artisan key:generate)

10. Set log directory ownership

sudo chown -R www-data:www-data /path/to/app/storage

11. Restart service

sudo service nginx restart
sudo service php7.0-fpm restart