The steps to correctly solve an equation are shown.

Question

Move a property into each box of the Reason column to justify each step.

Step 1. 7(x + 2) = -2x -4
Step 2. 7x + 14 = -2x -4
Step 3. 9x + 14 = -4
Step 4. 9x = -18
Step 5. x = -2

Word Bank: Associative property, commutative property, distributive property, reflexive property of equality, addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality

Answer 1

Step 1. 7(x + 2) = -2x -4
Reason: Distributive property

Step 2. 7x + 14 = -2x -4
Reason: Distributive property

Step 3. 9x + 14 = -4
Reason: Addition property of equality

Step 4. 9x = -18
Reason: Subtraction property of equality

Step 5. x = -2
Reason: Division property of equality