Equations with Variables on Both Sides

How do I solve: 3/7w - 11= -4/7w

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Sep 10, 2010
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by: Karin

This is an equation that contains fractions and variables on both sides.

Your first step is to get rid of the fractions by multiplying all terms by 7.

7[3/7w - 11] = -4/7w(7)
3w - 77 = -4w

Step 2: Get the variables on one side the and the constants on the the other side. Subtract 3w from both sides.

3w - 3w - 77 = -4w - 3w

-77 = -7w

Step 3: Divide both sides by -7.

-77/-7 = -7w/-7

11 = w

The answer to the equation is w = 11.

I hope this helps. There are a lot of great examples and practice problems for this type of equation in Algebra Class: Equations and Inequalities. You can find that information here:
https://www.algebra-class.com/algebra-practice-worksheets.html

Karin

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