## anonymous one year ago 2/3 (x-4) = 2x How do you solve that ?

1. jdoe0001

$$\bf \cfrac{2}{3}(x-4)=2x?$$

2. anonymous

Yes.

3. anonymous

@jdoe0001

4. misty1212

hi!!

5. misty1212

$\frac{2}{3}(x-4)=2x?$ right?

6. anonymous

Yes

7. misty1212

i hate fractions

8. misty1212

multiply both sides by 3 and get $2(x-4)=6x$ is a good start

9. anonymous

I get everything except the 2x part

10. anonymous

Multiply the 2/3 by x/1

11. anonymous

What do you mean ?

12. misty1212

your fraction in front is $$\frac{2}{3}$$ right?

13. anonymous

Yes

14. anonymous

Make the -4 12/3 and keep that 2/3x

15. anonymous

And make the 2x , 6/3x, it'll make it all Easter if it's all fractions

16. misty1212

lets go slow

17. jdoe0001

$$\bf \cfrac{2}{3}(x-4)=2x\implies \cfrac{2(x-4)}{{\color{brown}{ 3}}}=2x \\ \quad \\ 2(x-4)={\color{brown}{ 3}}(2x)\implies 2x-8=6x\implies ?=x$$

18. anonymous

want a picture of wavy I'd do ?

19. anonymous

I don't wanna push you guys but can you do the problem step-by-step because im not getting anything? It would be helpful.

20. anonymous

Sure retro

21. anonymous

Thanks jdoe

22. anonymous

I wanna see everyone of your answer with your ways and see which one easiest so I can do them on my own later :D

23. misty1212

$\frac{2}{3}(x-4)=2x$ the annoying part is the fraction $$\frac{2}{3}$$ we can get rid of the denominator by multiplying both sides by 3

24. anonymous

Okay so 2x would be 6x....

25. misty1212

that will get rid of the fraction $3\times \frac{2}{3}(x-4)=3\times 2x\\ 2(x-4)=6x$

26. anonymous

Won't let me post picture

27. misty1212

then it should be more or less routine distribute first get $2x-8=6x$

28. misty1212

subtract $$2x$$ from both sides to get $-8=4x$

29. anonymous

30. misty1212

then divide both sides by $$4$$

31. anonymous

X= -3

32. anonymous

You did it wrong ......

33. misty1212

actually no it is not $$-3$$

34. anonymous

yes it is

35. anonymous

I wished it would let me show you my work

36. anonymous

x=-2 @misty1212 ?

37. anonymous

Why won't it let me put pics ?

38. anonymous

@misty1212