Free Linear Equations Worksheets

Endless one-step, two-step, and multi-step equation practice with full step-by-step answers. Free and printable.

Linear equations are the backbone of algebra, and the single best way to master them is steady, repeated practice. These printable linear equation worksheets give students an endless supply of problems — one-step, two-step, and multi-step — so solving for a variable becomes fast and automatic. Every worksheet regenerates fresh, so students build genuine skill rather than memorizing a fixed set of answers.

What These Linear Equation Worksheets Cover

TypeExampleLevel
One-stepx + 8 = 15Easy
Two-step3x − 4 = 11Medium
Multi-step / both sides5x + 2 = 3x + 10Hard

Sample Linear Equation Problems

📝 Two-step equation

Solve: 3x − 4 = 11
Step 1: Add 4 to both sides → 3x = 15
Step 2: Divide by 3 → x = 5
Answer: x = 5

📝 Variables on both sides

Solve: 5x + 2 = 3x + 10
Step 1: Subtract 3x from both sides → 2x + 2 = 10
Step 2: Subtract 2 → 2x = 8
Step 3: Divide by 2 → x = 4
Answer: x = 4

The Golden Rule of Solving Equations

Whatever you do to one side, do to the other

Every step in solving a linear equation keeps the equation balanced. If you subtract 4 from the left side, you must subtract 4 from the right side too. Master this single idea and every linear equation becomes solvable.

How to Generate Your Worksheet

  1. Open the practice tool and switch to Teacher Mode.
  2. Select the Linear Equations topic and difficulty.
  3. Click Generate Worksheet for 10 fresh problems.
  4. Print, or solve online in Student Mode for step-by-step help.

For a complete tutorial, see our linear equations page and two-step equations guide.

Frequently Asked Questions

What grade are linear equation worksheets for?

One-step equations appear as early as grade 6, while two-step and multi-step equations are central to grades 7 through 9. Use the difficulty selector to match the level.

Do worksheets include negative numbers?

Yes — the Medium and Hard levels include negative coefficients and negative solutions, which are essential for real algebra fluency.

Are answer keys included?

Yes. Work through any worksheet in Student Mode for instant feedback and full step-by-step solutions.

How is this different from the algebra worksheets?

The linear equations worksheets focus specifically on solving equations for a variable. The algebra worksheets cover a broader set of skills including the distributive property and expressions.

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