Currently 96 members participate in the morning workout and this # has been increasing by 2 ppl per week. currently 80 ppl participate in the afternoon workout and this # has been increasing by 3 ppl per week. in how many week will the # of ppl working out in the morning be double the # of ppl working out in the afternoon?

Let x be the number of weeks from now of working out. The number of people working out in the morning after x weeks is 96 + 2x. The number of people working out in the afternoon after x weeks is 80 + 3x. The equation that represents the given is,
                                      96 + 2x = (80 + 3x)(2)
The value of x is equal to -16 which does not make sense.