How to Solve Equations with Variables on Both Sides

Miacademy & MiaPrep Learning Channel

This video tutorial provides a clear, step-by-step guide on how to solve linear equations that contain variable terms on both sides of the equal sign. The narrator, Justin, builds upon prior knowledge of two-step equations to introduce the new strategy of eliminating one of the variable terms through inverse operations. The video demonstrates that it does not matter which side's variable term is cancelled first, proving this by solving the same example problem in two different ways to reach the same solution. A significant conceptual focus of the video is the interchangeability of signs and operations; specifically, how subtraction functions identically to negative signs, and addition functions like positive signs. Through two detailed guided practice problems involving integers, the video reinforces procedural fluency. It employs visual aids like highlighting terms and showing calculations in red to help students follow the logic of balancing equations. This resource is highly valuable for middle school and early high school algebra classrooms. It addresses the common student anxiety about "where to start" when variables appear on both sides and clarifies the often-confusing relationship between operation symbols and integer signs. Teachers can use this video to introduce the concept or as a remediation tool for students struggling to organize their algebraic steps.