Answer:
The number is - 16
Step-by-step explanation:
Let the number be x
Twice the difference of a number and 5 is written as
2( x - 5)
three times the sum of the number and 2 is written as
3( x + 2)
Equate them
We have
2(x - 5) = 3(x + 2)
Expand
2x - 10 = 3x + 6
Group like terms
2x - 3x = 16 + 10
- x = 16
Multiply through by - 1
x = - 16
Hope this helps you
