The mathematics property that justifies the given statement is required.
The mathematics property used here is the distributive property.
The given statement is
[tex]3(5x+2)=3\times 5x+3\times 2[/tex]
This statement is of the form
[tex]a(b+c)=a\times b+a\times c[/tex]
This property of binary operations generalizes the distributive law.
This always true in elementary algebra.
So, the mathematics property used here is the distributive property.
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