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

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

Mathematics
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2x +5/10x + 3 = 1/3 25/10x+3=1/3 25/10x=-8/3 x=-16/15
where did 25 come from
majic

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I made 2x into a fraction and found a common denominator to combine 2/1+5/10
i dont know im sorry
polpak could you help me with my question by chance?
\[2x = \frac{2x*10x}{10x} = \frac{20x^2}{10x}\]
let me take a moment to look it...take it in lol
np, I was just correcting mm
Just multiply both sides by 10x with the requirement that x cannot be 0
polpak, do you mind showing me step by step
Well I told you the first step.. what do you have when you multiply both sides by 10x?
sorry...interrupted
(2x+5)/3 = 10x/3
where did the /3 on the left come from??
wait.. is the original equation \[\frac{2x + 5}{10x + 3} = \frac{1}{3}\]
yeah
you need to use parens better when describing the problem ;p
ok, so multiply both sides by 10x + 3 (with the stipulation that x cannot be -3/10)
so far i have 2x + 4 = 10x/3...on the right track?
no. you should have 2x + 5 = (10x + 3)/3
i skipped to the next step...where 3/3 = 1 and then subtracted from other side...does x=1
You can't do that
Oh, I see
Err wait. What did you do? x=1 isn't right
4/5?
no
Show your work so I can figure out what you're doing
so 2x + 5 = 10x +1 is that correct and i can go from there
No
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
i know what i did...just noticed that...i started over with a clean piece of paper
so 6x + 15 = 30x + 9
no
you forgot that the part on the right was divided by 3, so multiplying by 3 just cancels the denominator on the right side
i left my brain behind...sorry
np, it happens =)
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
\[3(2x + 5) = \frac{3(10x + 3)}{3}\]
you should have that written on your paper
so which 3's should cancel eachother out?
\[\frac{3(10x + 3)}{3} = \frac{3}{3}(10x + 3) = 1(10x + 3) = 10x + 3\]
ok...that was my problem....i wanted to cancel out the wrong 3...noted
x = 3
indeed
finally lol....sorry this has been a chore...thanks for your help and patience
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
definitely will...starred it on my sheet as "needs more attention" lol
good job =)
thanks :)

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