The sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number. find the number.

Question

asked Mar 18, 2020 116k views

1 Answer

JP Illanes · Answer 1 · 2020-03-22T15:51:12+0000

Answer:

1

Explanation:

Your equation may be written as follows:

(1)/(5) +2n=3n-(4)/(5)

Start by multiplying both sides by 5 to clear your fractions.

$(1)/(5) +2n=3n-(4)/(5) \\1+10n=15n-4$

Next, subtract 10n from both sides.

$1+10n=15n-4\\1=5n-4$

Add 4 to both sides.

$1=5n-4\\5=5n$

Divide both sides by 5 to solve for n.

$5=5n\\1=n$