Question

The sum of one-half a number and 7 is twice the number minus 5.What is that number?

Answer 1

1/2n + 7 = 2n - 5

2 · 1/2n + 7 · 2 = 2n · 2 - 5 · 2

n + 14 = 4n - 10

n - n + 14 = 4n - n - 10

14 = 3n - 10

14 + 10 = 3n - 10 + 10

24 = 3n

24 / 3 = 3n / 3

n = 8

Explanation:

Answer 2

N/2 + 7 = 2N - 5

N + 14 = 4N - 10

24 = 3N

N = 8