Question

solve for x.
5/6+1/5x=7/10x-2/3

Answer 1

1. Put like terms on the same side:

\[\frac{5}{6} + \frac{2}{3} = \frac{7x}{10} - \frac{x}{5}\]

Answer 2

Do you know how to combine fractions?

Answer 3

You should know how to add \[\frac{5}{6} + \frac{2}{3}\]

Answer 4

yes i do know how to do that

Answer 5

Okay, well, what did you get after adding?

Answer 6

3/2

Answer 7

Okay good

Answer 8

\[\frac{3}{2} = \frac{7x}{10} - \frac{x}{5}\]

Answer 9

Now all you have to do is add the other side.

Answer 10

You can combine the fractions if they have the same denominator, so multiply x/5 by 2/2

Answer 11

2/10?

Answer 12

What is the LCD in this case

Answer 13

10?

Answer 14

You can multiply by both sides by the LCD. That's on way to do it. I don't assume that the user knows how to find an LCD. But from now on, I think I'll just ask first.

Answer 15

If they don't know, then I'll just proceed with my methods.

Answer 16

I find it easier to get rid of the fractions despite whether they know the LCD or not

Answer 17

I'll brb

Answer 18

That's just the method you're used to @jim_thompson5910 . That's why you find it easier.

Answer 19

ok Jim and Hero your methods confuse me btw

Answer 20

Adding fractions is confusing? Why?

Answer 21

cause i suck at math thats y and its hard to remember stuff from algebra 1 which i had 2 yrs ago thats y

Answer 22

Well, you're lucky I'm not your teacher.

Answer 23

well ya but we prob live on other sides of the U.S so you wouldnt have me

Answer 24

Just because I use different methods doesn't mean I live on the other side of the country. Where are you from?

Answer 25

Fl

Answer 26

I lived in FL for 3 years. I'm familiar with the curriculum there.

Answer 27

ah