2 is added to twice a certain number and the sum is doubled. the result is 10 less than 5 times the original number

14

Step-by-step explanation:

2 (2n + 2) = 5n - 10

4n + 4 = 5n - 10

n=14

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