# Solve for x Worksheets

> One-step, two-step and x-on-both-sides equations. Grades 5–6. Part of [Super Awesome Math](https://superawesomemath.com/index.md).

Linear equations to solve on paper, each with ruled space underneath for the working. Start with one step, such as x + 7 = 15 or 3x = 21, move to two steps with brackets and division, such as 2x − 5 = 11 or 3(x + 2) = 18, then to equations with x on both sides. Every equation is built backwards from its answer, so each step is a whole number and x is a positive integer up to 10, 20 or 100. The × and ÷ signs print as the language writes them.

**Skills:** solving equations, inverse operations, one-step and two-step equations, balancing both sides.
**Format:** printable, randomized on every load.
**URL:** https://superawesomemath.com/worksheets/solve-for-x
**Grades 5–6** · Last updated: 2026-09-12

## Settings

- Level: one step, two steps, or x on both sides
- Answers: x up to 10, 20 or 100
- Sign: × ÷ or · :
- Columns: 2 or 3
- Print an answer key

## Example problems

- x + 7 = 15
- 3x = 21
- 2x − 5 = 11
- 5x − 3 = 2x + 9

## Frequently asked questions

**What is the difference between a one-step and a two-step equation?**

A one-step equation undoes a single operation: x + 7 = 15 is solved by taking 7 from both sides. A two-step equation has two operations wrapped around x, such as 2x − 5 = 11, and they are undone in reverse order, first adding 5 and then dividing by 2. Brackets and division by a number are two-step shapes too.

**Why is there empty ruling under each equation?**

Solving an equation is a sequence of steps, and each step belongs on its own line: what was done to both sides, then the new equation. The ruled rows give that working a place on the page, and there are more of them at the harder levels, where there are more steps to write.

**How is this different from the Equation Explorer?**

The Equation Explorer is an on-screen activity for seeing how an equation balances, moving terms across the equals sign and checking the answer on a number line. This sheet is the paper practice that follows: the same idea, written out by hand with no feedback until a grown-up checks it against the answer key.

**Are the answers always whole numbers?**

Yes. Every equation is built backwards from a whole-number answer between 1 and the chosen limit, so no step ever needs a fraction or a negative number. That keeps the attention on the method, undoing operations in the right order, rather than on the arithmetic.

## How to use

1. Open https://superawesomemath.com/worksheets/solve-for-x.
2. Adjust the settings; they are saved in the browser.
3. Press Regenerate for a new random set, then Print.

## Other Super Awesome Math worksheets

- [Add & Subtract](https://superawesomemath.com/worksheets/add-subtract.md): Addition & subtraction drills
- [Column Addition & Subtraction](https://superawesomemath.com/worksheets/column-addition.md): Vertical multi-digit addition and subtraction
- [Multiplication](https://superawesomemath.com/worksheets/multiplication.md): Times tables & grid practice
- [Column Multiplication](https://superawesomemath.com/worksheets/column-multiplication.md): Long multiplication practice
- [Division](https://superawesomemath.com/worksheets/division.md): Division facts, with or without remainders
- [Long Division](https://superawesomemath.com/worksheets/long-division.md): Long division practice
- [Comparison](https://superawesomemath.com/worksheets/comparison.md): Greater than, less than, equal
- [Rounding](https://superawesomemath.com/worksheets/rounding.md): Round to nearest 10, 100, 1000
- [Factors & Primes](https://superawesomemath.com/worksheets/factors-and-primes.md): Prime factorization, GCD and LCM, prime or composite
- [Fractions](https://superawesomemath.com/worksheets/fractions.md): Simplify, find equivalent fractions and compare
- [Add & Subtract Fractions](https://superawesomemath.com/worksheets/add-subtract-fractions.md): Like and unlike denominators, and mixed numbers
- [Decimals](https://superawesomemath.com/worksheets/decimals.md): Column addition and subtraction, and × ÷ by 10, 100, 1000
- [Order of Operations](https://superawesomemath.com/worksheets/order-of-operations.md): Which operation comes first
- [Equation Explorer](https://superawesomemath.com/worksheets/equation-explorer.md): Solve equations interactively
- [Patterns](https://superawesomemath.com/worksheets/patterns.md): Number sequences & series
- [Bongard Problems](https://superawesomemath.com/worksheets/bongard-problems.md): Find what the left boxes share and the right ones lack

## For developers and AI agents

Every page is also available as Markdown: append `.md` to the path or request it with `Accept: text/markdown`.

- [llms.txt](https://superawesomemath.com/llms.txt): index for language models
- [worksheets.json](https://superawesomemath.com/worksheets.json): machine-readable worksheet catalog
- [Sitemap](https://superawesomemath.com/sitemap.xml)