If tree times a number is increased by 22 , the result is 14 less than seven times the same number

Answer 1

let n = a number

it would be written as: 3n + 22 = 7n -14

To solve for n:

3n + 22 = 7n -14

-3n -3n

______________ [subtract 3n on both sides]

22 = 4n -14

+14 +14

____________ [add 14 on both sides]

36 = 4n

[divide both sides by 4]

9=n