Question

1/4x - 1/5 (x-4)= 5x looking for where to start

Answer 1

Hint:

\[\frac{1}{4}x - 5x = \frac{1}{5}(x-4)\]

Answer 2

\[\frac{1}{4}x - 5x = \frac{1}{5}x - \frac{4}{5}\]

Answer 3

\[\frac{1}{4}x - 5x - \frac{1}{5}x = - \frac{4}{5}\]
\[\left(\frac{1}{4} - 5 - \frac{1}{5}\right)x = - \frac{4}{5}\]

Answer 4

ok

Answer 5

\[-\frac{99}{20}x = - \frac{4}{5}\]
\[ \frac{4}{5} =\frac{99}{20}x\]

Answer 6

I hope that (x - 4) term wasn't in the denominator of the fraction.

Answer 7

no, it wasnt

Answer 8

Okay, so then, you should be able to figure things out from there.

Answer 9

unfortunately, that is where I got stuck

Answer 10

i ended up with -83/20 = x

Answer 11

which was wrong

Answer 12

Well of course. x isn't negative.

Answer 13

I tried to show that in my very last entry.

Answer 14

lol, it can be in my math world..... my daughter tells me the math police are going to arrest me for breaking math laws...

Answer 15

But 88/20 isn't the right value anyway.

Answer 16

And even if it was, you'd still have to reduce it to lowest terms.

Answer 17

no, 83

Answer 18

4/5 = 16/20

Answer 19

and when you subtract the 99/20 from the right and do the same to the left, I came up with -83/20

Answer 20

You don't subtract 99/20 from both sides.

Answer 21

You have to multiply both sides by 20/99 to isolate x. Then afterwards, reduce.

Answer 22

awwww and come up with 16/99!

Answer 23

Congrats, you found the correct answer.

Answer 24

with much in-trepidation