Algbra - stuck on divide / multiply ?

Hi now i understand that x - 4 + 12 you would do -4+4(canceled) then 12+4=16

but ...................

i dont understand this ....

x / 4 = 12 ( x divide by 4 equals 12 )

because you would multiply both sides but when i multiplyed 4 * 4 its 16 ? but iv been told this would cancel .... HOW ?

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