Solving Multi-Step Equations with Like Terms

Question:
Solve the equation: 5x plus 3x minus 10 equals 38. Combine like terms first, then isolate the variable. Show all steps and check your solution.

Solving Multi-Step Equations with Like Terms

This lesson walks through solving a linear equation that requires combining like terms before isolating the variable. Students learn to apply the Addition and Division Properties of Equality in sequence, then verify their solution by substitution.

In this lesson, you will learn to:
• Identify and combine like terms to simplify a linear equation
• Apply the Addition and Division Properties of Equality to isolate a variable
• Verify a solution by substituting it back into the original equation
• Communicate each algebraic step clearly and in logical order

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 1- Solving Linear Equations
Level: Grade 8

Pause before each step, try the next