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Valoarea lui x din egalitatea 3+{4•[2+(1000-x):3]-17}•7=24

Răspuns :

3+{4•[2+(1000-x):3]-17}•7=24
{4•[2+(1000-x):3]-17}•7=24-3
{4•[2+(1000-x):3]-17}•7=21
4•[2+(1000-x):3]-17=21:7
4•[2+(1000-x):3]-17=3
4•[2+(1000-x):3]=3+17
4•[2+(1000-x):3]=20
2+(1000-x):3=20:4
2+(1000-x):3=5
(1000-x):3=5-2
(1000-x):3=3
1000-x=3×3
1000-x=9
x=1000-9
x=991

PROBA

3+{4•[2+(1000-991):3]-17}•7=
=3+[4×(2+9:3)-17]×7=
=3+[4×(2+3)-17]×7=
=3+(4×5-17)×7=
=3+(20-17)×7=
=3+3×7=
=3+21=
=24
{4•[2+(1000-x):3]-17}•7=24-3
4•[2+(1000-x):3]-17=21:7
4•[2+(1000-x):3]=3+17
2+(1000-x):3=20:4 (1000-x):3=5-2
1000-x=3•3
1000-x=9
x=1000-9
x=991