Question

A number is added to 12 and the result. is divided by 2. The answer is the same as you get by substracting the number from 4. What is the number.​

Answer 1

`-1(1)/(3)` or
`(4)/(3)`

Explanation:

This can be represented by the equation
`(x+12)/(2) =4-x`.

To solve, we first multiply both sides by 2 to remove the fraction on the left. This leaves us with
`x+12=8-2x`

Next, we subtract 12 from both sides to get
`x` by itself. This results in
`x=-2x-4`.

Then we add
`2x` to get the
`x`-term on only one side. We get
`3x=-4`.

Dividing by 3 to get
`x` by itself, the equation becomes
`x= -(4)/(3)`.