Directions: See if you can supply the missing portions of these equation-solution-justifications.

1. State the missing steps and reasons to this solution of 3(x + 4) = 18.

a.   3(x + 4) = 18
 b. Step 3x + 12 = 18
Distributive Property
c.   3x + 12 - 12 = 18 - 12
d.   3x + 0 = 18 - 12
e.   3x = 18 - 12
 f. Step 3x = 6
Numerical Subtraction
g.
h.
i.
j.  x = 2

2. Justify the reasons to this solution of 3x + 2 + 7x = 2(6x - 8).

 a.   3x + 2 + 7x = 2(6x - 8) Reason Given b.   3x + 7x + 2 = 2(6x - 8) Reason Commutative Property of Addition c.   x(3 + 7) + 2 = 2(6x - 8) Reason Distributive Property in reverse d.   x(10) + 2 = 2(6x - 8) Reason Numerical Addition e.   10x + 2 = 2(6x - 8) Reason Commutative Property of Multiplication f.   10x + 2 = 12x - 16 Reason Distributive Property g.   10x - 10x + 2 = 12x - 10x - 16 Reason Subtraction Property of Equality h.   0 + 2 = 12x - 10x - 16 Reason Additive Inverse i.   0 + 2 = x(12- 10) - 16 Reason Distributive Property in reverse j.   0 + 2 = x(2) - 16 Reason Numerical subtraction k.   0 + 2 = 2x - 16 Reason Commutative Property of Multiplication l.  2 = 2x - 16 Reason Additive Identity m.  2 + 16 = 2x - 16 + 16 Reason Addition Property of Equality n.  2 + 16 = 2x + 0 Reason Additive Inverse o.  2 + 16 = 2x Reason Additive Identity p.  18 = 2x Reason Numerical Addition q. Reason Division Property of Equality r. Reason Multiplicative Inverse s. Reason Multiplicative Identity t.  9 = x Reason Numerical Division