Solving Equations with Variables on Both Sides

Question:
Solve the equation: 6x plus 5 equals 2x plus 21. Collect variable terms on one side and constants on the other. Show each step and verify the solution.

Solving Equations with Variables on Both Sides

This lesson teaches students how to solve a two-step linear equation by collecting variable terms on one side and constant terms on the other through inverse operations. Each algebraic step is shown explicitly, and the solution is verified by substitution into the original equation.

In this lesson, you will learn to:
• Collect variable terms on one side of an equation by applying inverse operations
• Isolate the variable by undoing addition and division in the correct order
• Verify a solution by substituting it back into the original equation

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1- Solving Linear Equations
Level: Grade 9

Pause before each step, try the next