Question

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

Answer 1

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`