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The addition of the opposite, to both sides of the equation. keep it equal
When the coefficient of that variable, in which you want to eliminate, is negative.
Assuming that there is an equality sign between the two sevens, the equation is an example of the Abelian (or commutative) property of integers (or numbers) under addition.
That means that subtracting the same value or expression from both sides of an equation is a valid operation, in the sense that the new equation will have the same solution set. The definitions of "addition property...", "multiplication property..." and "division property..." are similar; with the main caveat that you may not multiply or divide by zero.
If x=y then x+z=y+z or If x=y and a=b then x+a=y+b The formal name for the property of equality that allows one to add the same quantity to both sides of an equation. This, along with the multiplicative property of equality, is one of the most commonly used properties for solving equations.