Bri, algebra confused me the first time I took it, too.
We have our dependent (output) and independent (input) variable. The output depends on the input. Sometimes we work in reverse and are given an output and told to find the input.
A situation like this could be like "The Fun Zone charges an entrance fee of $15 and $2 per minute to use the batting cages. How many minutes can I use the batting cages if I have $35 to spend?" The number of minutes is the input, and the total cost is the output.
35 = 2x + 15
First, we want to "move" anything without an x, so 15. We do the opposite of adding, but to BOTH sides.
35 - 15 = 2x + 15 - 15
Well, 15 - 15 = 0, so 15 is gone from the right side.
20 = 2x
2x is like saying 2(x). What's the opposite of multiplication?
20/2 = 2x/2
2/2 = 1, but we don't say 1x, just x, like we don't call you 1Bri.
10 = x
We can turn those around since they are equal.
x = 10
So, if y = 35, x = 10