Question

Four times the sum of 8 and some number is 4. What is the number?

Answer 1

-7

Explanation:

Let the unknown number be x

`4(8+x)=4`

Expand

`4(8+x )\\4* 8 = 32\\4 \tiimes x = 4x\\\\= 32+4x`

`32+4x =4`

Collect like terms and simplify

`4x =4-32\\4x = -28`

Divide both sides of the equation by 4

`(4x)/(4) = (-28)/(4)`

Simplify

`x =-7`

Answer 2

`\Huge \boxed{\mathrm{-7}}`

`\rule[225]{225}{2}`

Explanation:

Let the number be x.

`4(x+8)=4`

Dividing both sides by 4,

`x+8=1`

Subtracting 8 from both sides,

`x=-7`

The number is -7.

`\rule[225]{225}{2}`