Let x represent the number.
the difference of a number and 6. This would be expressed as
x - 6
5 times the sum of the number and 2. This would be expressed as
5(x + 2)
Since both expressions are the same, it means that
x - 6 = 5(x + 2)
We would open the bracket on the right hand side by multiplying each term inside the bracket by the term outside the bracket. It becomes
x - 6 = 5x + 10
5x - x = - 6 - 10
4x = - 16
x = - 16/4
x = - 4
The correct option is A
