How to Solve Linear Equations — Step by Step Guide

Step-by-Step Method

1. 1

   Simplify both sides of the equation. Remove brackets and combine like terms.

2. 2

   Move all terms with the variable to one side and constants to the other using addition or subtraction.

3. 3

   Divide both sides by the coefficient of the variable to isolate x.

4. 4

   Substitute the value back into the original equation to check your answer.

Worked Example

Common Mistakes to Avoid

• ✗

  Forgetting to change the sign when moving terms across the equals sign.

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  Not applying an operation to both sides of the equation equally.

• ✗

  Making errors when dealing with fractions — multiply everything by the LCM of denominators first.

• ✗

  Skipping the verification step.

Practice Linear Equations on SparkEd

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Frequently Asked Questions

How do I solve Linear Equations problems?

Simplify both sides of the equation. Remove brackets and combine like terms. Move all terms with the variable to one side and constants to the other using addition or subtraction.

What are common mistakes in Linear Equations?

Forgetting to change the sign when moving terms across the equals sign. Not applying an operation to both sides of the equation equally.

Which class covers Linear Equations?

Linear Equations is typically taught in Class 7, 8, 9. SparkEd has free practice for all these grades.

Where can I practise Linear Equations for free?

SparkEd offers free chapter-wise practice for Linear Equations aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.