Subtract 5 from both sides.
Free Interactive Pre-Algebra Tool
Step-by-Step One-Step Equations Practice
Use inverse operations to isolate the variable while keeping both sides balanced. Rewrite the complete equation after each valid algebra step.
Start practicingNeed Help With One-Step Equations?
Review inverse operations, keeping both sides balanced, solving with negative values and fractions, and checking whether a solution makes the original equation true.
Read the One-Step Equations Guide
Problem 1 of 10
10%
Current equation
Complete one valid inverse-operation step.
Original equation
x + 7 = 15
Your work
0 steps completed
- Start x + 7 = 15
Solve this equation
x + 7 = 15
Use an inverse operation on both sides to isolate the variable.
Hint
Undo the operation attached to the variable using the opposite operation on both sides.
One-step equation reference
Add 4 to both sides.
Divide both sides by 3.
Multiply both sides by 5.
Divide both sides by −4.
Multiply both sides by 3 and keep the sign.
Equation Solved
Great job!
Original equation
x + 7 = 15
Solution
x = 8
Problems Solved
0
Correct Steps
0
Incorrect Attempts
0
Current Streak
0
Practice Round Complete
Great work!
You completed all 10 one-step equation problems.
Problems Solved
0
Correct Steps
0
Incorrect Attempts
0
Step Accuracy
0%
Keep both sides balanced
Whatever operation you use to isolate the variable must be applied to both sides of the equation.
Use the inverse operation
Addition and subtraction undo each other. Multiplication and division undo each other.
Rewrite the full equation
Enter the complete updated equation rather than only the operation or final number.
Example
What does one balanced step look like?
Suppose the original equation is:
x + 7 = 15
1
Subtract 7 from both sides
x = 8
The student enters the updated equation x = 8, not just “subtract 7” or the number 8.
Practice One-Step Equations by Showing the Algebra
One-step equations are often a student's first introduction to solving for an unknown variable. The key idea is to undo the operation attached to the variable while keeping both sides of the equation equal.
This practice tool focuses on the equation itself rather than asking for only an operation or final answer. Students rewrite the complete balanced equation after each valid step so their algebraic reasoning remains visible.
Addition and Subtraction Equations
If a number is added to the variable, subtract that number from both sides. If a number is subtracted, add it to both sides.
Multiplication and Division Equations
If the variable is multiplied by a coefficient, divide both sides by that coefficient. If the variable is divided by a number, multiply both sides by that number.
Negative Numbers and Fractions
Intermediate and advanced problems include negative values, negative coefficients, fractional values, and division forms that require careful sign handling.
Three Difficulty Levels
Beginner practice focuses on positive whole numbers. Intermediate practice introduces negative numbers and mixed inverse operations. Advanced practice includes fractions, negative coefficients, and more challenging division forms.
Free One-Step Equations Practice on Any Device
The tool is designed for desktop computers, tablets, and phones and can be used for tutoring, homework review, classroom practice, or independent study.
Support Free Math Resources
Find this resource helpful?
RaulTheTutor.com provides free interactive tools, guides, reference resources, and practice materials for students, parents, and teachers. If this resource helped you, consider making an optional contribution to support the development of more free math resources.