Question

What is the answer negative one times the sum of one and seven times a number, decreased by 6 times the difference of negative seven and a number,equals thirty-six

Answer 1

Answer:

The number is -79.

Step-by-step explanation:

Let's set up equation for the given information.

Let the number as 'x'

Negative 1 times the sum of one and seven times a number x could be written as -1(1+7 x).

Now, 6 times the difference of negative seven and a number could be written as

6(-7-x)

Now,

-1(1+7 x) decreased by 6(-7-x) equals 36

So, we can set up equation as

-1(1+7 x)-6(-7-x)=36

Solve the equation for x

-1-7 x-42+6 x=36

Combine like terms

-x-43 =36

Add both sides 43

-x=79

Divide both sides by -1.

x=79