Question

I need to remember how to solve this problem

Answer 1

You have to move all terms involving the variable on one side, and all constant terms on the other side.

To move a term from a side to the other, you have to change its side.

So, for example, if you move 4x from left to right, it will become -4x (you're actually subtracting 4x from both sides):

$1 = -5+7x-4x = -5+3x$

Similarly, add 5 to both side to get

$1+5 = 3x \iff 3x = 6$

Finally, divide both sides by 3:

$x = 2$