Making Algebra easier for you!

Can you please show me how to solve equations such as this:

4x-5=12x-69. X=

This equation has variables on both sides; therefore, your goal is to get all of the variables on one side and all of the constants on the other side.

Let's start by moving the 12x to the left side. We will need to subtract 12x from both sides.

4x - 12x - 5 = 12x - 12x -69

-8x - 5 = -69

Now we need to move the -5 to the right hand side by adding 5 to both sides.

-8x - 5 +5 = -69 +5

-8x = -64

Now we need to get x by itself by dividing by -8 on both sides.

-8x/-8 = -64/-8

x = 8

Your final answer is x = 8.

Check by substituting 8 for x into the original equation. Both sides should be equal.

4(8) - 5 = 12(8) - 69

32 - 5 = 96 - 69

27 = 27

This proves that your answer is correct.

Hope this helps you to learn how to solve equations with variables on both sides.

All the best,

Karin

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

Need More Help With Your Algebra Studies?

Get access to hundreds of video examples and practice problems with your subscription!

Click here for more information on our affordable subscription options.

Not ready to subscribe? Register for our FREE Pre-Algebra Refresher course.