Question

Justify each step in solving the equation 7x = 2(x - 5) by writing a reason for each statement. Drag the answers into the boxes to correctly complete the proof. Statement Reason 1. 7x = 2(x - 5) 2. 7x = 2x - 10 3. 5x = -10 4. x = -2 Division Property of EqualityGivenSubtraction Property of EqualityDistributive Property

Answer 1

Let's solve this equation and put the words with it along the way.

1) 7x = 2(x - 5) [given: this is, well, the problem]

2) 7x = 2x - 10 [Distributive Property: 2 was distributed throughout (x-5)]

3) 5x = -10 [Subtraction Property of Equality: We subtracted 2x on both sides]

4) x = -2 [Division Property of Equality: We divided both sides by 5]

Hope this helps!