Free Interactive Pre-Algebra Tool

Step-by-Step Two-Step Equations Practice

Undo two operations in the correct order while keeping both sides balanced. Rewrite the complete equation after each valid algebra step so every part of the solution stays visible.

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Learn Before You Practice

Need Help With Two-Step Equations?

Review why the constant is undone first, how to remove the coefficient second, how balance is preserved, and how negatives and fractions affect the solution.

Read the Two-Step Equations Guide

Two-Step Equations

Solve two balanced steps in order

Perform exactly one valid algebra step at a time, then enter the entire updated equation before moving to the next step.

Problem 1 of 10 10%

Current equation

Undo the constant term first.

Intermediate
Original equation
3x + 5 = 20
Your work 0 steps completed
  1. Start 3x + 5 = 20
Solve this equation
3x + 5 = 20

Enter the entire balanced equation. You may use / for fractions and - for negative signs.

Undo the constant term first, then undo the coefficient.
Problems Solved 0
Correct Steps 0
Incorrect Attempts 0
Current Streak 0

Undo the constant first

Remove the addition or subtraction outside the variable term before dealing with the coefficient.

Undo the coefficient second

Once the constant is gone, use division, multiplication, or a reciprocal to isolate the variable.

Keep both sides balanced

Every operation used to simplify the equation must preserve equality on both sides.

Example

What does two-step equation work look like?

Suppose the original equation is:

3x + 5 = 20
1
Subtract 5 from both sides 3x = 15
2
Divide both sides by 3 x = 5

The student enters each complete updated equation separately: first 3x = 15, then x = 5.

Practice Two-Step Equations by Showing Every Algebra Step

Two-step equations require two inverse operations to isolate the variable. In the usual form ax + b = c, remove the constant term first and then undo the coefficient.

This practice tool focuses on the changing equation rather than only the final answer. Students rewrite the complete balanced equation after each valid step, making the algebra visible from start to finish.

Why the Constant Comes First

In 3x + 5 = 20, the +5 is outside the multiplication by 3. Subtracting 5 first produces 3x = 15. The coefficient can then be removed by dividing both sides by 3.

Multiplication and Division Forms

Some two-step equations use a coefficient such as 4x, while others use division such as x/4. After the constant term is removed, use the inverse of the remaining multiplication or division.

Negative Numbers and Fractions

Intermediate and advanced problems include negative constants, negative coefficients, fractional coefficients, and fractional solutions. The same balance and inverse-operation rules still apply.

Three Difficulty Levels

Beginner problems use positive whole numbers. Intermediate problems introduce negative values and mixed signs. Advanced practice includes fractional coefficients, division forms, and fractional solutions.

Free Two-Step Equations Practice on Any Device

The tool is designed for desktop computers, tablets, and phones and can be used for tutoring sessions, homework support, classroom review, or independent practice.

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