the number
is -11.
To find the number
such that the difference of 2 times \( x \) and 8 is -30, we set up and solve the equation:
![\[ 2x - 8 = -30 \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/5aglr90uf3lk3xvll2iwkjc93le4327ky7.png)
Adding 8 to both sides of the equation to isolate the term with \( x \) on one side gives us:
![\[ 2x = -30 + 8 \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/cvmsnouu2rivvatccvtefcsujm48ve36ng.png)
![\[ 2x = -22 \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/eyzdgebto931eli2forqneces4qe5k03ou.png)
Dividing both sides by 2 to solve for
gives us:
![\[ x = (-22)/(2) \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/5lv093ejdt09c4upwqd1t6rxvei8wm5akr.png)
![\[ x = -11 \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/lnhh6gqmv0je98pg2nuga26jp14c4lxs3z.png)
So the number
is -11.