3/8 c-2 = 3/2 c-12 solve for c

3/8 c - 2 = 3/2 c - 12

add 12 to both sides

3/8 c + 10 = 3/2c

minus 3/2c

3/8 c - 3/2c + 10 = 0

3/8c - 3/2c = - 10

make common denominator of 8

3/8c - 12/8c = - 10

-9/8c = - 10

times by 8 on both sides

-9c=-80

c = - 80/-9

negatives cancel out

c = 80/9