Question 422817
The 'sum of a number (call it x) and 2' means x+2
'Twice the sum' means multiply by 2: 2(x+2)
We are told this equals '3 times the difference of the number and 2' which is:
3(x-2)
Equate the two and then solve for x:
2(x+2) = 3(x-2) -> 2x + 4 = 3x - 6, or x = 10.
Check: 2*12 = 24 = 3*8