Question

Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.

Step Work Justification
1 3(x + 2) = 12 Given
2
3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality
4 3x = 6 Simplify
5 Three times x over three equals six over three Division Property of Equality
6 x = 2 Simplify
3x + 6 = 12; Distributive Property
3x + 2 = 12; Distributive Property
3x + 6 = 12; Multiplication Property of Equality
3x + 2 = 12; Multiplication Property of Equality

Answer 1

You need to distribute the 3 .

Explanation:

3 ( x + 2 ) = 12 Distribute

3x + 6 = 12 Subtract 6 on both sides

3x = 6 Divide both sides by 3

x = 2

Answer 2

3x+6=12 Distributive Propert