Question

Va rog să mă ajutați cu problema următoare:
105+5·{3+7·2+2·[5+3·7-2·(3+2x)]}=190​

Answer 1

105 + 5 × { 3 + 7 × 2 + 2 × [ 5 + 3 × 7 - 2 × ( 3 + 2 x ) ] } = 190

105 + 5 × { 3 + 14 + 2 × [ 5 + 21 - 2 × ( 3 + 2 x ) ] } = 190

105 + 5 × { 17 + 2 × [ 26 - 2 × ( 3 + 2 x ) ] } = 190

5 × { 17 + 2 × [ 26 - 2 × ( 3 + 2 x ) ] } = 190 - 105

5 × { 17 + 2 × [ 26 - 2 × ( 3 + 2 x ) ] } = 85

17 + 2 × [ 26 - 2 × ( 3 + 2 x ) ] = 85 : 5

17 + 2 × [ 26 - 2 × ( 3 + 2 x ) ] = 17

2 × [ 26 - 2 × ( 3 + 2 x ) ] = 17 - 17

2 × [ 26 - 2 × ( 3 + 2 x ) ] = 0

26 - 2 × ( 3 + 2 x ) = 0 : 2

26 - 2 × ( 3 + 2 x ) = 0

2 × ( 3 + 2 x ) = 26 - 0

2 × ( 3 + 2 x ) = 26

3 + 2 x = 26 : 2

3 + 2 x = 13

2 x = 13 - 3

2 x = 10

x = 10 : 2

x = 5