## anonymous one year ago Solve for x. 5x-1/4=6 What value of x makes the equation true?

1. anonymous

@ikram002p

2. Astrophysics

$\frac{ 5x-1 }{ 4 }=6$ like this?

3. anonymous

yes

4. Astrophysics

You can cross multiply

5. Astrophysics

$5x-1 = 6(4)$ now solve for x

6. anonymous

-19

7. Astrophysics

No, not quite, how did you get that?

8. ikram002p

is the equation like this $$\Large 5x-\frac{1}{4}=6$$ or $$\Large \frac{5x-1}{4}=6$$ ??

9. anonymous

the 2nd one

10. ikram002p

oh then gon on with @Astrophysics

11. Astrophysics

When doing algebra, what you do to one side you must also do to the other, and to figure out what operation to do, just do the opposite of what already exists :) So see we have 5x-1 = 20 and we want to get x on its own. So first lets get rid of the -1, to do that as I mentioned above do the opposite operation of it and then do it to both left and right side as follow

12. Astrophysics

|dw:1438606023527:dw| now what's next

13. Astrophysics

Oh sorry I put 20 in the post above when it should be 24

14. anonymous

you would do 24 *6?

15. Astrophysics

Since we have 5x=25, notice how the 5 is "attached" to the x right? So that means it's being multiplied, so what's the opposite operation of multiplication?

16. anonymous

divide

17. Astrophysics

Exactly!

18. Astrophysics

So now we just divide both sides by 5 :)

19. anonymous

i got 4.8

20. Astrophysics

$5x=25 \implies x = \frac{ 25 }{ 5 }$

21. Astrophysics

22. anonymous

i got 5

23. Astrophysics

Sounds good!