What are the inverse operations and how they are used to solve equation?

Reversing Operations The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it. Reversing Multiple Operations When more than one operation acts on a variable in an algebraic equation, apply the reverse of the order of operations to reverse the operations. Here is the order in which you should reverse operations: 1. Reverse addition and subtraction (by subtracting and adding) outside parentheses. 2. Reverse multiplication and division (by dividing and multiplying) outside parentheses. 3. Remove (outermost) parentheses, and reverse the operations in order.