Ответ:
x=3
Пошаговое объяснение:
1/6:(1/4х-1/3)-3/8=1/40
1/6:(1/4х-1/3)=1/40+3/8 1/40+3/8=1/40+15/40=16/40=4/10=2/5
1/6:(1/4х-1/3)=2/5
1/4х-1/3=1/6:2/5 1/6:2/5=1/6*5/2=5/12
1/4x-1/3=5/12
1/4x=5/12+1/3 5/12+1/3=5/12+4/12=9/12=3/4
1/4x=3/4
x=3/4:1/4 3/4:1/4=3/4*4/1=3
x=3
проверка 1/6:(1/4*3-1/3)-3/8=1/40
1/6:(3/4-1/3)-3/8=1/40
1/6:(9/12-4/12)-3/8=1/40
1/6:5/12-3/8=1/40
1/6*12/5-3/8=1/40
2/5-3/8=1/40
16/40-15/40=1/40
1/40=1/40