Basic Algebra/Solving Equations/Solving Equations with Variables on Both Sides of the Equation

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Vocabulary[edit]

Variable
A letter (-) that takes the place of a number.
Equation
An example would be like (The answer is )

Lesson[edit]

NOTE: WHAT YOU DO TO ONE SIDE YOU MUST DO TO THE OTHER SIDE! NO EXCEPTIONS!

1) do the distributive property.

2) Combine like terms on both sides.

3) add/subtract numbers next to a variable on both sides.

4) divide by the number next to the variable on both sides.

5) The answer should look like: or .

(Note: the variables and numbers may vary in your answer.)

Example Problems[edit]

A simple problem:

Problem
Distributive Prop.
Subtract the variables with numbers next to them.
This is what you're left with.
get rid of the 50 by subtracting
This is what you're left with.
Get rid of the three by dividing by three
This is your answer.

Practice Games[edit]

Put links here to games that reinforce these skills

Purplemath.com: http://www.purplemath.com/modules/index.htm

Practice Problems[edit]

Note: Use / as the fraction line and put spaces between wholes and fractions!

1

Answer:

2

Answer:

3

Answer:


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Solving Equations with Variables on Both Sides of the Equation
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Solving Multi-Step Equations Equations with More than One Variable