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4x + 1/3 = 12x - 3/7
1/3 + 3/7 = 12x - 4x
1(7) + 3(3)/3(7) = 8x
7 + 9/21 = 8x
8x = 16/21
x = 16/21/8/1
x = 16(1)/21(8)
x = 16/168
x = 2/21
Verificamos
4x + 1/3 = 12x - 3/7
4(2/21) + 1/3 = 12(2/21) - 3/7
8/21 + 1/3 = 24/21 - 3/7
8/21 + 7/21 = 24/21 - 9/21
(8 + 7)/21 = (24 - 9)/21
15/21 = 15/21
5/7 = 5/7
Espero ayude