If 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. Find the number.

Question

Let X represent the number 

show your work

Answer 1

This problem is relatively easy, we just need to translate it from words to an equation:

 

2 is subtracted from a number => (x-2) where x is our unknown number

 

this difference is tripled => 3*(x-2) 

 

The result (3*(x-2)) is (when we see "is" we should translate this to an equality) 6 more (so add 6) than our number

 

=> 3*(x-2) = x + 6

 

which we can then solve (I'll leave that detail to you!) for x = 6.