CCSS.MATH.6.RP.A.1 / TEKS 6.4.B.3✓ NSW Education Standards Authority (NESA) AlignedAcademic Year 2026–27
Solving Multi-Step Linear Equations
Isolate variables by applying inverse operations systematically to both sides of an algebraic equation.
Why It Matters:The core bedrock of physics modeling, financial forecasting, and computational algorithms.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Solve for x: 3x + 7 = 28:
1
Subtract 7 from both sides
3x + 7 - 7 = 28 - 7 => 3x = 21
Isolate the variable term by eliminating the constant.
2
Divide both sides by 3
3x / 3 = 21 / 3 => x = 7
Isolate x by dividing by its coefficient.
✓Verification Check
Verify by substitution: 3(7) + 7 = 21 + 7.
21 + 7 = 28
•
28 = 28
⚠️ Common Pitfalls & Misconceptions
Performing operations on only one side of the equation
✗ Subtracting 7 from the left side but adding it to the right side✓ Whatever operation is performed on one side MUST be applied identically to the other side
Equations must preserve balance.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
Solve for y: 4y - 5 = 19.
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Solving Multi-Step Linear Equations
Passing Criteria:70% or higher
Question 1 of 1
What is the inverse operation of multiplication?
Education to Career Navigation
Where This Lesson Leads
Aerospace Engineers, Game Developers, and Economists formulate linear equations daily.