Find the missing number based on the description below:

"12 less than 7 times a number is the same as 32 less than the product of - 3 and the number"

The number is - 2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of - 3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = - 3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = - 20

divide both sides by 10

a = - 20/10

a = - 2

The number is - 2