Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Equation with Variables on Both Sides

by Rhonda
(Washington Indiana Daviess)


Comments for Equation with Variables on Both Sides

Average Rating starstarstarstarstar

Click here to add your own comments

Aug 18, 2010
Equation with Variables on Both Sides
by: Karin

This is an equation with variables on both sides.

Our first step is to get rid of the parenthesis by using the distributive property.

-11 - 5a = 6(5a+4)
-11 - 5a = 30a + 24

Step 2: Get the variables on one side. We'll move the variables to the left hand side by subtracting 30a from both sides.

-11 - 5a - 30a = 30a - 30a + 24

-11 - 35a = 24 (I combined like terms)

Step 3: Get the constants on the right hand side by adding 11 to both sides.

-11 + 11 - 35a = 24 + 11

-35a = 35 (I added 24 + 11 = 35)

Step 4: Isolate the variable a by dividing both sides by -35.

-35a/-35 = 35/-35

a = -1 (35/-35 = -1)

The solution is a = -1.

You can check this solution by substituting -1 for a into the original equation. Both sides of the equation should be equal.

For more help and examples on solving equations with variables on both sides, visit:


Hope this helps,

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Students.

Like This Page?

Top of the Page

Connect and Follow Algebra Class

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED