We're going to start in Inverness, in the Scottish Highlands, and arrive in Kent, on the River Thames. Dropping and adding letters will help you find your way.
-1.Drop a letter from Inverness and shuffle to find a mathematical expression that means terms that 'increase and decrease in direct proportion to each other'. 8 letters, plural
-2.Drop another letter and anagram to find a noun meaning 'people who feel jealousy'. 7, plural
3.Another letter dropped and a rearrangement of the letters will create a verb which means to make a change, often to the written word, much as you are doing now. 6
-4.Remove another letter and change the order to come up with a division in a poem, or something found in the Bible. 5
5.Another letter disappears and another letter shuffle is needed to create a word meaning 'always' or 'at any time'. 4
-6.Time to start adding now. Add one letter and anagram to create a synonym for edge or rim. 5
-7.Include another letter and shuffle to find the part of a suit of armour which protects the wearer's lower leg. 6, singular
-8.Add one more letter, and another new word will appear. This one means to etch a design into stone or metal. 7
-9.To find the next word, meaning a group of people who take reprisals and can be described as retaliators, add a letter and shuffle again. 8, plural
-10.We're nearly at journey's end. Add one final letter and anagram to come up with a town on the Thames estuary, located in Kent. It could be your final destination in more than one way. 9, first letter 'g'