Question

24/5z+4 = 4/z-1

Answer 1

24/(5z+4) = 4/(z-1)
Multiply but both sides by (z-1)(5z+4)
24(z-1) = 4(5z+4)
24z-24 = 20z +16
4z = 40
z = 10

Answer 2

That is, if you wanted to solve for z

Answer 3

I just become confused on that 2nd part where you simplify and have to subtract and add.
(24z-24) = 20z+16
So when I combine terms(z) I would do it left to right? And yes I was solving for z. Thanks.

Answer 4

It doesn't matter if you add the terms from left to right or vice versa. As you can see, moved all the terms with z to the left side, and all the constants to the right. I could've done it the other way around, but I did it in a way that z remained positive.

Answer 5

Ahhhh. Thanks. But when I combine terms, don't I add them together? Or which every way it is on the equation?

Answer 6

You can only add similar terms
When I had
24z-24 = 20z+16
I subtracted 20z from both sides
24z-20z-24=20z-20z+16
Which gives
4z-24=16
Then, I added 24 to both sides
4z-24+24=26+24
4z=40
Then, divided by 4 on both sides
4z/4=40/4
z=10

Answer 7

Oh I understand now. Thank you very much!