Question

Twice the difference of a number and six is negative six, find the number

Answer 1

The difference between a number and six is
`x-6`. Twice this difference is
`2(x-6)`. If you want this difference to be negative, six, you have

`2(x-6)=-6`

Divide both sides by 2:

`x-6 = -3`

Add 6 to both sides:

`x = 3`

Answer 2

Let x = a number

3(6 - x) = -9

Divide both sides of equation by 3.

6 - x = -3

Subtract 6 on both sides of equation.

-x = -9

Divide both sides of equation by -1.

x = 9

The number is 9.