Mikes rents a car for a total of £445 the rental charges are £145 for first day and £60 per day after that for how many days did he mike rent the car

So, I'm not use to that type of currency, but I can still help you.
The equation would be:
145 + 60(d-1) = 445
Now since it is 60  per day after that, the first day would not be charge, the second would but you would not charge it more.
145 + 60d - 60 = 445
Add like terms
85 + 60d = 445
-85               -85
60d= 360
d= 6
You can even check using a table/ coordinates. x= days, y=money
(1, 145), (2, 205), (3, 265), (4, 325), (5, 385), (6, 445).