8(2/15)-(x+3(5/14))÷5(5/8)=7(1/3)
(122/15)-(x+(47/14)÷(45/8)=(22/3)
-((14x+47)/14)÷(45/8)=(22/3)-(122/15)
-((14x+47)/14)÷(45/8)=(22×5-122)/15
-((14x+47)/14)×(8/45)=(110-122)/15
-((14x+47)/14)×(8/45)=-(12/15)|×(-(45/8)
(14x+47)/14)=(12/15)×(45/8)
(14x+47)/14=(3×4×15×3)/(15×4×2)
(14x+47)/14=(9/2)|×14
(14x+47)=(9×7×2)/(2)
14x+47=63
14x=63-47
14x=16|÷14
(14×x)/14=(16/14)
x=(16/14)=(8/7)
Проверка:
8(2/15)-((16/14)+3(5/14))÷5(5/8)=7(1/3)
8(2/15)-((16/14)+(47/14))÷5(5/8)=7(1/3)
-((16+47)/14)÷(45/8)=7(1/3)-8(2/15)
-((63/14))×(8/45)=(-12)/15|×(-45/8)
(63/14)=(12×45)/(15×8)
(63/14)=(3×4×15×3)/(15×4×2)
(63/14)=(9/2)
(9/2)=(9/2)- истина.
Ответ: х=(16/14)=(8/7)