Question

2x +5/10x + 3 = 1/3 solve for x

Answer 1

2x +5/10x + 3 = 1/3
25/10x+3=1/3
25/10x=-8/3
x=-16/15

Answer 2

where did 25 come from

Answer 3

majic

Answer 4

I made 2x into a fraction and found a common denominator to combine 2/1+5/10

Answer 5

i dont know im sorry

Answer 6

polpak could you help me with my question by chance?

Answer 7

\[2x = \frac{2x*10x}{10x} = \frac{20x^2}{10x}\]

Answer 8

let me take a moment to look it...take it in lol

Answer 9

np, I was just correcting mm

Answer 10

Just multiply both sides by 10x with the requirement that x cannot be 0

Answer 11

polpak, do you mind showing me step by step

Answer 12

Well I told you the first step.. what do you have when you multiply both sides by 10x?

Answer 13

sorry...interrupted

Answer 14

(2x+5)/3 = 10x/3

Answer 15

where did the /3 on the left come from??

Answer 16

wait.. is the original equation
\[\frac{2x + 5}{10x + 3} = \frac{1}{3}\]

Answer 17

yeah

Answer 18

you need to use parens better when describing the problem ;p

Answer 19

ok, so multiply both sides by 10x + 3 (with the stipulation that x cannot be -3/10)

Answer 20

so far i have 2x + 4 = 10x/3...on the right track?

Answer 21

no. you should have 2x + 5 = (10x + 3)/3

Answer 22

i skipped to the next step...where 3/3 = 1 and then subtracted from other side...does x=1

Answer 23

You can't do that

Answer 24

Oh, I see

Answer 25

Err wait. What did you do? x=1 isn't right

Answer 26

4/5?

Answer 27

no

Answer 28

Show your work so I can figure out what you're doing

Answer 29

so 2x + 5 = 10x +1 is that correct and i can go from there

Answer 30

No

Answer 31

You have to divide the whole 10x + 3 by 3, you can't just divide the 3 on top and leave the 10x alone. I suggest instead multiplying both sides by 3 to get rid of the fraction

Answer 32

i know what i did...just noticed that...i started over with a clean piece of paper

Answer 33

so 6x + 15 = 30x + 9

Answer 34

no

Answer 35

you forgot that the part on the right was divided by 3, so multiplying by 3 just cancels the denominator on the right side

Answer 36

i left my brain behind...sorry

Answer 37

np, it happens =)

Answer 38

give me one minute..going to reason through...what bothers me the most...is that this looks simple and i feel like i can solve more difficult problems more easily

Answer 39

\[3(2x + 5) = \frac{3(10x + 3)}{3}\]

Answer 40

you should have that written on your paper

Answer 41

so which 3's should cancel eachother out?

Answer 42

\[\frac{3(10x + 3)}{3} = \frac{3}{3}(10x + 3) = 1(10x + 3) = 10x + 3\]

Answer 43

ok...that was my problem....i wanted to cancel out the wrong 3...noted

Answer 44

x = 3

Answer 45

indeed

Answer 46

finally lol....sorry this has been a chore...thanks for your help and patience

Answer 47

np, just be sure to go back over the process and make sure you understand not only what we did, but why what you were doing doesn't work

Answer 48

definitely will...starred it on my sheet as "needs more attention" lol

Answer 49

good job =)

Answer 50

thanks :)