Double unknown.

Question

Currently, 96 members participate in the morning workout, and this number has been increasing by 2 people per week. Currently, 80 members participate in the afternoon workout, and this number has been decreasing by 3 people per week. In how many weeks will the number of people working out in the morning be double the number of people working out in the afternoon?

Answer 1

96+2x=2(80-3x)

96+2x=160-6x

2x+6x=160-96

8x=64

x=64/8

x=8 weeks

check: 96+16=2(80-24), 112=2(56)