If you double a number and then add 24 you get 2/7 of the original number. if you let x represent the original number it can be represented by the equation 2x + 24 = 2/7x. what is the original number?

The first thing you should do for this case is to select x from the given equation to find the original number. Then clearing x we have
 2x + 24 = 2 / 7x.
 2x - 2 / 7x = -24
 x (2-2 / 7) = - 24
 x ((14-2) / (7)) = - 24
 x ((12) / (7)) = - 24
 x = -24 * ((7) / (12)) = - 14
 answer
 the original number 14