## anonymous one year ago Which is the solution to the following equation?

1. anonymous

4x -8=2(2x-3)

2. anonymous

@TheCatMan @jim_thompson5910

3. anonymous

distribute the equation first of all

4. anonymous

|dw:1443060945709:dw|

5. jim_thompson5910

|dw:1442974882232:dw|

6. anonymous

I'm actually doing the same exact problems as you are right now in algebra

7. jim_thompson5910

as shavonnah is saying, multiply the outer 2 by each term inside the parenthesis |dw:1442974931673:dw|

8. anonymous

8 and 5? I have no idea.. BRAIN FART

9. anonymous

I can show you what I got. I worked it out on paper but I'm not sure if it's correct

10. anonymous

Please due. Im kind of lost..

11. anonymous

\[4x-8=2(2x-3) second process.. 4x-8=4x+-6 third process 8x-8=+-6 third and final step 8/2=4 so x=4\]

12. anonymous

x=-6?

13. anonymous

I don't think that's correct..

14. anonymous

@jim_thompson5910

15. anonymous

its multiple choice in my book, thats not an option.

16. anonymous

I wasn't trying to be rude.. I'm a junior too. Also in college

17. jim_thompson5910

Notice how the 4x terms cancel |dw:1442975852372:dw|

18. anonymous

So was I right with the x=-6?

19. jim_thompson5910

we're left with the equation `-8 = -6` which is always false. -8 and -6 are two different numbers that aren't equal So that means there is no solution. There are no numbers we can replace x with to make a true equation. It's impossible

20. Theloshua

4x -8=2(2x-3) 4x - 8 = 4x-6 4x = 4x + 2 no possible solution

21. jim_thompson5910

and by "the 4x terms cancel" I mean, subtract 4x from both sides 4x-4x = 0x = 0 which goes away

22. anonymous

Oh!! Its a.. let me think.. lol I forgot what its called..

23. jim_thompson5910

you might be searching for the term "inconsistent"

24. jim_thompson5910

inconsistent equations have no solutions

25. anonymous

26. anonymous

is an equation with no solution.

27. Theloshua

there you go

28. jim_thompson5910