5х - 3 1/2 = 4 2/3
5х = 4 2/3 + 3 1/2 (приводим к общему знаменателю: 6)
5х = 4 4/6 + 3 3/6
5х = 7 7/6 = 8 1/6
Х= 8 1/6 : 5
Х= 49/6 * 1/5
Х= 49/30 = 1 19/30
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5*(49/30) - 3 1/2 = 4 2/3
8 1/6 - 3 1/2 = 4 2/3
8 1/6 - 3 3/6 = 4 2/3
7 7/6 - 3 3/6 = 4 2/3
4 4/6 = 4 2/3
4 2/3 = 4 2/3