Question

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.

Answer 1

7

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