Question

Emma wants to use the distributive property to solve this equation.5(x – 2) = 30Help her follow these steps to finish solving for x.1. Distributive property: 5x – 10 = 302. Addition property of equality: 5x = 403. Division property of equality: x =

Answer 1

x = 8

Explanation:

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Answer 2

5(x - 2) = 30

1. Distributive property: a(b - c) = ab - ac

(5)(x) - (5)(2) = 30

5x - 10 = 30

2. Addition property of equality

5x - 10 = 30 add 10 to both sides

5x - 10 + 10 = 30 + 10

5x = 40

3. Division property of equality

5x = 40 divide both sides by 5

5x : 5 = 40 : 5

x = 8