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

Answer:

1

Step-by-step explanation:

Your equation may be written as follows:

$\frac{1}{5} +2n=3n-\frac{4}{5}$

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

$\frac{1}{5} +2n=3n-\frac{4}{5} \\1+10n=15n-4$

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.

$5=5n\\1=n$