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

Answer:

$-1\frac{1}{3}$ or $\frac{4}{3}$

Step-by-step explanation:

This can be represented by the equation $\frac{x+12}{2} =4-x$.  

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 $x= -\frac{4}{3}$.