# Equation with Variables on Both Sides

by Rhonda
(Washington Indiana Daviess)

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

### Comments for Equation with Variables on Both Sides

Average Rating     Aug 18, 2010 Rating     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: https://www.algebra-class.com/solving-algebra-equations.html Hope this helps, Karin Need More Help With Your Algebra Studies?