1. Identify the unknown variable: The first step in solving a multi-step equation is to identify the unknown variable, or the variable that needs to be solved for. This variable is usually represented by a letter, such as x.
2. Simplify both sides of the equation: Use the various properties of equality to simplify both sides of the equation. This may involve combining like terms, distributing, or simplifying fractions.
3. Isolate the variable: Your goal is to get the variable on one side of the equation and the numbers on the other side. This may involve adding or subtracting terms, multiplying or dividing by a coefficient, or applying the inverse operation to undo an operation.
4. Solve for the variable: Once you have isolated the variable, you can solve for it by performing the necessary operations. Be sure to show all of your steps and work neatly.
5. Check your solution: After you have solved for the variable, it is important to check your solution by plugging it back into the original equation. This will ensure that your solution is correct.
6. Write the final solution: If your solution passes the check, write it as your final answer. You may need to write it in a specific form, such as a fraction, decimal, or mixed number, depending on the given problem.
Problem-solving with multi step equations, QuickChek
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