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1.15 Solving Equations Using the Distributive Property

Solve each equation below by applying the distributive property. Show your work for each problem. Make sure to check your solution by substituting it back into the original equation.

Question 1

Short answer

Solve for x: 3(x + 4) = 21.

Question 2

Short answer

Solve for x: 2(5x - 3) = 14.

Question 3

Short answer

Solve for x: 4(x - 2) + 6 = 18.

Question 4

Short answer

Solve for x: 5(2x + 1) = 35.

Question 5

Short answer

Solve for x: 6 - 2(x - 4) = 10.

Question 6

Short answer

Solve for x: 7(x + 2) - 3x = 25.

Question 7

Short answer

Solve for x: 8x - 3(2x - 5) = 19.

Question 8

Short answer

Solve for x: 2(x + 7) + 4 = 24.

Question 9

Short answer

Solve for x: 9 - 3(x - 2) = 0.

Question 10

Short answer

Solve for x: 5(x - 3) + 2x = 24.

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