If you multiply or divide an equation by any non-zero number, the two sides of the equation remain equal. This property is almost always needed for solving equations in which the variables have coefficients other than 1.
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Equals multiplied by equals are equal.
"Inverse Operation(s)"
Yes.
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
5 x 3 = 15 is an equation or an equality. This particular one shows the multiplication of two integers on the left and the product (the result of multiplication) on the right. The equal sign indicates that the left and right sides of the equation are equivalent.