Explain equation solving steps

What you'll learn

1. Name and apply the properties of equality (addition, subtraction, multiplication, division) and explain why each preserves equality
2. Justify each step in solving a simple equation by citing the property of equality used
3. Explain the logical structure of equation solving: "assuming a solution exists, derive what it must be"
4. Write a step-by-step justification of a solution process in a format analogous to a mathematical proof
5. Construct and communicate a viable argument for a chosen solution method, including why the method is valid