Three times the sum of a number and 2 is the same as the number minus 4

3 * (n+2) = n-4

n=-5

Step-by-step explanation:

Three times the sum of a number and 2 is the same as the number minus 4

3 * (n+2) = n-4

Distribute

3n + 6 = n-4

Subtract n from each side.

3n-n + 6 = n-n-4

2n + 6 = - 4

Subtract 6 from each side.

2n + 6-6 = - 4-6

2n = - 10

Divide by 2 on each side.

2n/2 = - 10/2

n = - 5