How to Solve One-Variable Equations Step-by-Step – Master Linear Equations in Minutes!

Learn how to solve one-variable equations step-by-step in this clear and concise math tutorial. We walk through a range of problems—from simple one-step equations like x + 5 = 12 to more complex equations that involve distribution, variables on both sides, real-world applications, and literal equations. This video is ideal for middle school and early high school students, teachers, and anyone reviewing basic algebra concepts.

This lesson supports Common Core Standard CCSS.MATH.CONTENT.7.EE.B.4, which emphasizes using variables to represent real-world problems and solving linear equations to find solutions.

What’s Covered in This Video: Solving one-step and two-step equations Distributive property and combining like terms Equations with variables on both sides Word problems with real-life scenarios Solving literal equations Bonus problem with fractions

Topics Covered with Time Stamps: 00:00 - Intro 00:22 - Solve a One-Step Equation 01:01 - Solve a Two-Step Equation with Distribution 02:13 - Solve a Multi-Step Equation with Variables on Both Sides 03:33 - Real-World Equation – Savings Plan 05:59 - Literal Equation – Solve for a Variable 07:56 - Summary 07:59 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

Master key algebra skills and gain confidence in solving equations with this step-by-step guide.

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