How to Solve Linear Equations Using a General Strategy | Minute Math

In this video we learn how to solve linear equations using a general strategy. The general strategy in how to solve linear equations is the following steps...

1. Simplify each side of the equation as much as possible. Use the Distributive Property to remove any parentheses. Combine like terms.
2. Collect all the variable terms on one side of the equation. Use the Addition or Subtraction Property of Equality.
3. Collect all the constant terms on the other side of the equation. Use the Addition or Subtraction Property of Equality.
4. Make the coefficient of the variable term equal to 1. Use the Multiplication or Division Property of Equality. State the solution to the equation.
5. Check the solution. Substitute the solution into the original equation to make sure the result is a true statement.

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Marecek, L., & Mathis, A. H. (2020). Use a General Strategy to Solve Linear Equations. In Intermediate Algebra 2e. OpenStax. https://openstax.org/books/intermediate-algebra-2e/pages/2-1-use-a-general-strategy-to-solve-linear-equations. License: CC BY 4.0. Access for free at https://openstax.org/books/intermediate-algebra-2e/pages/2-introduction