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(35)(x+1)/5+6=(35)(x-1)/7
7x+7+210=5x-5
acomodamos términos semejantes:
7x-5x=-5-7-210
2x=-222
despejando x
x=-222/2
x=-111
Por lo tanto el número es -111
comprobamos:
(-111+1)/5+6=(-111-1)/7
-110/5+6=-112/7
-16=-16
Saludos, espero haberte ayudado!