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.