the sum of 19/4 and six times a number is equal to 9/4 subtracted from 7 times the number

Question

I don't understand these

Answer 1

Let N be the number

 

(19/4) + 6N = 7N - (9/4)

 

Clear fractions: 19 + 24N = 28N - 9

Subtract 24N from each side: 19 = 4N - 9

Add 9 to each side: 28 = 4N

Divide by 4: N = 7

You should plug the answer back into the original equation to make sure it is correct.