Answer:
2 is added to twice a certain number and the sum is doubled. The original number is 14
Solution:
Let x be the original number
Given that the 2 is added to twice of x. This can be represented as (2 + 2x)
Now it is given that the sum is doubled which means 2(2 + 2x)
The result is 10 less than 5 times the original number "x" which means 2(2 + 2x) = 5x - 10
The above expression is solved to get the value of original number
2(2 + 2x) = 5x - 10
4 + 4x = 5x - 10
On rewriting the above expression, we get
5x - 10 -4 -4x = 0
x - 14 = 0
x = 14
Hence the original number is 14