Question

3033+2×{6-3×[(19-3×X)÷2]}÷8-1033=2000 Metoda mersului invers
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Answer 1

3033+2×{6-3×[(19-3×X)÷2]}÷8-1033=2000

3033+2×{6-3×[(19-3×X)÷2]}÷8=2000+1033

3033+2×{6-3×[(19-3×X)÷2]}÷8=3033

2×{6-3×[(19-3×X)÷2]}÷8=3033-3033

2×{6-3×[(19-3×X)÷2]}÷8=0

2×{6-3×[(19-3×X)÷2]}=0×8

2×{6-3×[(19-3×X)÷2]}=0

6-3×[(19-3×X)÷2]=0:2

6-3×[(19-3×X)÷2]=0

3×[(19-3×X)÷2]=6-0

3×[(19-3×X)÷2]=6

(19-3×X)÷2=6:3

(19-3×X)÷2=2

19-3×X=2×2

19-3×X=4

3×X=19-4

3×X=15

X=15:3

X=5

Answer 2

Răspuns: X = 5

Explicație pas cu pas:

3033 + 2 × { 6 - 3 × [ ( 19 - 3 × X) : 2] } : 8 - 1033 = 2000

3033 + 2 × { 6 - 3 × [ ( 19 - 3 × X) : 2] } : 8 = 2000 + 1033

3033 + 2 × { 6 - 3 × [ ( 19 - 3 × X) : 2] } : 8 = 3033

2 × { 6 - 3 × [ ( 19 - 3 × X) : 2] } : 8 = 3033 - 3033

2 × { 6 - 3 × [ ( 19 - 3 × X) : 2] } = 0 : 8

6 - 3 × [ ( 19 - 3 × X) : 2] = 0 : 2

6 - 3 × [ ( 19 - 3 × X) : 2] = 0

3 × [ ( 19 - 3 × X) : 2]  = 6 - 0

3 × [ ( 19 - 3 × X) : 2]  = 6

( 19 - 3 × X) : 2 = 6 : 3

( 19 - 3 × X) : 2 = 2

19 - 3 × X = 2 × 2

3 × X = 19 - 4

3 × X = 15

X = 15 : 3

X = 5 → numarul, aflat prin metoda mersului invers