If the sum of twice a number and - 12 is multiplied by 2, the result is 11 greater than the opposite of the number. Find the number.

7

Step-by-step explanation:

To write an expression and equation. define the variables first.

"a number" is x.

The "sum of twice a number and - 12" is 2x+-12 and multiplied by 2 is 2 (2x + - 12).

The "11 greater than the opposite of the number" is 11+-x.

Set the expressions equal and solve for x.

2 (2x + - 12) = 11 + - x

4x + - 24 = 11 + - x

5x + - 24 = 11

5x = 35

x=7