Skip to content
Math Sheet Studio
GeneratorWorksheets by gradeBlogPricing
GeneratorWorksheets by gradeBlogPricing
Math Sheet Studio

Printable math worksheets you can fix one question at a time.

Product

GeneratorPricingAll topicsBlog

Worksheets

Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8

Company

ContactPrivacyTerms
© 2026 Math Sheet StudioPrivacy · Terms
Worksheets›Grade 8›Linear equations & systems›Equations with variables on both sides

Equations with Variables on Both Sides Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 8CCSS 8.EE.C.7Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Positive terms, positive answers

  1. 1.12x + 6 = 7x + 26
  2. 2.7x + 3 = 6x + 6
  3. 3.5x + 10 = 3x + 24
  4. 4.8x + 5 = 7x + 12
  5. 5.9x + 13 = 7x + 31
  6. 6.8x + 10 = 4x + 22
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Collect the x-terms on one side and the constants on the other, then divide by the coefficient of x.

Easy5x + 5 = 4x + 15Positive terms, positive answersMedium9x + 11 = −7x − 21Negative coefficients and answersHard3(x + 6) = 7x + 14Distribute first

How to solve it: a worked example

Solve for x.

  1. Start11x + 4 = 6x + 54
  2. Subtract 6x on both sides5x + 4 = 54
  3. Subtract 45x = 50
  4. Divide by 5x = 10
  5. Answerx = 10

Common mistakes to watch for

  • Adding an x-term to one side and subtracting it from the other.
  • Moving a term across the equals sign without changing its sign.
  • Dividing by the wrong coefficient after collecting terms.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Multi-step equationsSystems of equationsLaws of exponentsScientific notationSquare roots & cube roots

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix equations with variables on both sides with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.