Solving Equations with Variables on Both Sides Worksheet (with solutions)

Solving Equations Worksheets | Variables on Both Sides, Fractions, Brackets

A collection of four worksheets on solving linear equations. The problems require students to solve: * one-step equations * two-step equations * equations with variable on both sides * equations with brackets * equation with fractional coefficients Detailed solutions are included. **Are your students struggling to solve multi-step linear equations?** Take the stress out of your lesson planning with this comprehensive, scaffolded maths worksheet pack designed to build algebraic fluency and confidence. This multi-section resource guides learners step-by-step from foundational one-step equations up to complex equations involving variables on both sides, fractions, and brackets. It is an ideal resource for classwork, independent practice, homework, cover plans, or an end-of-unit revision booklet! **What is Included in This Download?** * **Scaffolded Practice Sheets:** Carefully sequenced worksheets that gradually increase in difficulty to prevent student overwhelm. * **Full Step-by-Step Solutions:** Fully worked-out answer keys for every single problem to save you hours of marking time and allow for easy student self-checking. * **No-Prep Needed:** A ready-to-print PDF file that requires zero assembly time! **Key Skills & Topics Covered** * **One-Step Equations:** Quick introductory review using addition, subtraction, multiplication, and division. * **Two-Step Equations:** Isolating the unknown variable using inverse operations. * **Unknowns on Both Sides:** Learning to collect like terms and move variables across the equal sign safely. * **Equations with Brackets:** Expanding expressions using the distributive law. * **Equations with Fractions:** Working with rational denominators and cross-multiplying. **Target Audience & Year Groups:** * **Key Stage 3 (KS3):** Year 7, Year 8, and Year 9 core curriculum practice and mastery. * **Key Stage 4 (KS4 GCSE):** Perfect for GCSE Foundation tier practice or as a vital revision tool for Higher tier students. * **Differentiated Learning:** Use individual sections for targeted intervention or print the whole document as a comprehensive homework pack.