Let:
x = number we want to find
the sum of a number and 6 is multiplied by 5:
(x + 6)*5
the result is the same as 7 times the number increased by 16. So:
(x + 6)*5 = 7x + 16
Let's solve for x:
Use distributive property on the left hand side:
5x + 30 = 7x + 16
Subtract 5x from both sides:
5x + 30 - 5x = 7x + 16 - 5x
30 = 2x + 16
Subtract 16 from both sides:
30 - 16 = 2x + 16 - 16
14 = 2x
Divide both sides by 2:
14/2 = 2x/2
7 = x