Question 419283
Let x = the number that we are searching for.

Note that "3 more than twice a number" is 3 + 2x.
The product of 5 and "3 more than twice a number" is 5 (3 + 2x).  We know that this product is 85.  So, we have:

5 (3 + 2x) = 85
15 + 10x = 85  (distributive property)
10x = 70 (subtracting 15 from both sides)
x = 7 (dividing both sides by 10)

Answer: 7

Checking the work:  "3 more than twice a number" is 3 + (2 * 7) = 3 + 14 = 17
The product of 5 and "3 more than twice a number" is 5 * 17 = 85.
Bullseye.