You’re in luck!  Whether you are a student looking to become an algebra expert, or an algebra teacher seeking to help your students master equations, these worksheets are for you.  As you work through these solving equations worksheets, you’ll develop your ability to manipulate equations by using inverse operations and learn how to solve equations that have variables on both sides.  If you have already conquered our one- and two-step equations, then these worksheets should provide an ample challenge.  One could say that these problems are three-step equations.

As usual, our free algebra worksheets always come with step-by-examples to help you on your way. Teachers, these worksheets serve as great tools for either independent classwork or homework.  The worksheets can be downloaded as Word documents and PDFs.  There is plenty of room on each worksheet to show all of your steps.  Of course, answer keys are provided, but I always tell my students that equations are great because you can always check your own answers.  You don’t even need your teacher to find out if you have an ‘A’!

 

Solving Equations with Variables on Both Sides 1– This 12 problem worksheet is designed to introduce you to solving equations that have variables on both sides.  Only positive whole numbers are featured in the equations and all of the answers are positive as well.  A few of the equations are two-step equations, but most are three-step equations similar to  “20 + 2x = x + 56″

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Solving Equations with Variables on Both Sides 2– This 12 problem worksheet includes equations that focus primarily on subtraction.  If students isolate the variable on the left side of the equations, then they will avoid having to use negative numbers.  Examples are shown to help guide students through the process.  All of the answers are positive integers and the equations are similar to ” 8x – 88 = 2x – 34″

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Solving Equations with Variables on Both Sides 3– This 12 problem worksheet has equations that feature a mixture of addition and subtraction.  You will encounter some negative integers as you “undo” these equations.  Some of the answers will be negative as well, but I haven’t thrown in any decimals yet.  Here’s an example of a typical problem:   “5x + 8 = 4x – 4″

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