Hey there!
Let's start with the original equation:
x ÷ 5 + 1 = 5
The first step to solving is to subtract 1 from each side of the equation. Since we are doing this to both sides, the equation will still be equal.
x ÷ 5 = 4
The next thing we have to do is multiply each side by 5, so we have the variable x on its own. Again, the equation stays equal because we are doing the same thing to both sides of the equation.
x = 20
Let's check our solution.
Take the equation x ÷ 5 + 1 = 5 and put 20 in the place where x is.
20 ÷ 5 + 1 = 5
Order of operations says division comes before addition, so we can do that first. Divide 20 by 5.
4 + 1 = 5
Add 4 and 1 together.
5 = 5
Looks like the equation checks out!
So, your answer is x = 20!
Hope this helps!