Explanation:
In order to solve this equation, you will need to use the following steps:
First, simplify the left side of the equation by performing the operation of multiplying 0.5 and (2x-8) to get 0.5(2x-8)=x-4.
Then, subtract 3 from both sides of the equation to get x-4=3x+28.
Next, subtract 3x from both sides of the equation to get -3x+x-4=28.
Combine the like terms on the left side of the equation to get -2x-4=28.
Add 4 to both sides of the equation to get -2x=32.
Finally, divide both sides of the equation by -2 to get x=16.
Therefore, the value of x that makes the equation 3-0.5(2x-8)=(3x+28) true is 16.