Answer:
The required equation is 
The value of x is 16.
Step-by-step explanation:
Consider the provided information.
if a number is increased by 5 and the result is then divided by three,the result is seven.
Let the number is represented by x.
Increase the number by 5: x+5
Now divide the result by 3, and result is seven.
This can be written as:

Now solve the equation for x as shown.


Subtract 5 from both sides.

Hence the value of x is 16.