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Grade 7 Math Worksheets

There are five sets of solving linear equation worksheets:

- Solve linear equations (1-step equations)
- Solve linear equations (2-step equations)
- Solve linear equations (combine like terms)
- Solve linear equations (distributive property & combine like terms)
- Solve linear equations (fractions)

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to solve linear equations by using the distributive property and combining like terms.

There are three sets of solving linear equations worksheets using distributive property & combining like terms.

- Solve linear equations (variables on one side, positive coefficients).
- Solve linear equations (variables on one side, negative coefficients).
- Solve linear equations (variables on both sides).

You can follow these steps to solve a linear equation:

- Use the distributive property and combine like terms, if applicable.

- Multiply each term inside the parentheses by the number or variable outside the parentheses.
- Combine the like terms that were created by the distribution.

- Isolate the variable term. Perform inverse operations to move all other terms to the opposite side of the equation.
- Simplify the equation further, if necessary, until you have the variable term isolated on one side of the equation.
- Solve for the variable by performing the necessary operations to isolate it.
- Check your solution by substituting the value you found back into the original equation and verifying that both sides are equal.

For example,

3x + 3(2x + 3) = 54

3x + 6x + 9 = 54

9x + 9 = 54

9x = 54

x = 5

Have a look at this video if you need to review how to solve linear equations by using the distributive property and combining like terms.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Linear Equations Worksheets**.

**Printable**

(Answers on the second page.)

Linear Equations Worksheet #1 (variables on one side, positive coefficients)

Linear Equations Worksheet #2 (variables on one side, negative coefficients)

Linear Equations Worksheet #3 (variables on both sides)

**Online or Generated**

Combine like Terms (Sprint)

Solve by Combining Like Terms

Solve Equations with the Variable on Both Sides

Solve Equations by Distributive Property

Solve Multi-Step Equations 1

Solve Multi-Step Equations 2

Solve Word Problems using Algebra

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