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Solving Equations by Distributive Property Worksheet

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Objective: I know how to solve equations by distributive property.

To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In that way, the parenthesis are removed. We can then combine like terms and solve by equivalent equations when necessary.

Look at the lesson on Solving Equations by Distributive Property if you need help before trying out the worksheet.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Use distributive property and combine like terms to solve the equations.

-18 - 6x = 6(1 + 3x)
Answer: x =

5x + 34 = -2(1 – 7x)
Answer: x =

2(4x – 3) – 8 = 4 + 2x
Answer: x =

3x – 5 = -8(6 + 5x)
Answer: x =

-(1 + 7x) – 6(-7 – x) = 36
Answer: x =

-3(4x + 3) + 4(6x + 1) = 43
Answer: x =

2(6 – x) – 3x = 22
Answer: x =

-5(1 – 5x) + 5(-8x –2) = -4x – 8x
Answer: x =

4(2x – 2) + 2(1- x) = 9 + x
Answer: x =

6(1 – 3x) – 2(2x –1) = -18x
Answer: x =

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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