Learn to Solve Equations with Addition the Easy Way

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Solve Equations with Addition

A crucial beginning step of algebra is being able to solve equations with addition or subtraction. This lesson is designed with the beginning algebra student in mind. We will take you from the very beginning.

For a very picture-friendly step-by-step explanation of solving basic equations, please view the powerpoint slide show below. The file is rather large (38 MB) so please be patient while it downloads.

Click the icon at the left. In powerpoint click "View-Slideshow" to see the video. Make sure your speakers are turned on.

Please comply with GradeA's Terms & Conditions when downloading.

Written Instructions & Examples for Solving Equations

Example #1: Solve x + 4 = 9

To solve this equation, we must identify our variable: x. Then we have to look at the other terms on the same side of the equation: + 4. Then, we must do the opposite (-4) from both sides of the equations.

x + 4	=	9	original equation
– 4	=	– 4	subtract 4 from both sides
x	=	5	simplify both sides (answer)

Example #2: Solve x – 3 = 8

In this equation, we must add 3 to both sides...

x – 3	=	8	original equation
+ 3	=	+ 3	add 3 to both sides
x	=	11	simplify both sides (answer)

Example #3: Solve x = 9 + 5

To solve equations with addition, sometimes all you really need is addition! In this case, we can simply add the right hand side

x	=	9 + 5	original equation
x	=	14	simplify the right hand side (answer)

If you are having problems, please look at the free video from the top of the page. You may also enjoy our free geometry video on the Geometer's Sketcphad. You can download it or view it here.

Otherwise, congratulations: you can now solve equations with addition.

Ready to move on to the next lesson, where we solve with division?

More free algebra help or the GradeA hompeage.