Laura is thinking of a number such that the sum of the number and five times 2 more than the number is 26 more than four times the number. Determine what number is Laura thinking of.

Determine what number is Laura thinking:

Let’s set a variable for our unknown number. Let’s have b.

=> b + 5 (b + 2) = 4b + 26

Now, we have our equation, let’s start solving.

=> b + 5b + 10 = 4b + 26

=> 6b + 10 = 4b + 26

=> 6b - 4b = 26 - 10

=> 2b = 16

=> b = 16 / 2

=> b = 8

Thus, the number that Laura is thinking of is 8.