Fill in the missing justifications in the correct order.
a.) distributive property, subtraction property of equality, subtraction property of equality, division property of equality.
b.) distributive property, subtraction property of equality, division property of equality subtraction property of equality.
c.) subtraction property of equality, addition property of equality, distributive property, division property of equality.
d.) subtraction property of equality, distributive property, addition property of equality, division property of equality.

A ) Distributive property, subtraction property of equality, subtraction property of equality, division property of equality.

Step-by-step explanation:

The given equation:

4 ( x + 5 ) = 2 x + 2

4 x + 20 = 2 x + 2 ( Distributive property ),

because: 4 · x + 4 · 5 = 4 x + 20

Then follows :  4 x - 2 x + 20 = 2 x - 2 x + 2  ( Subtraction property of equality )

2 x + 20 = 2

After that:

2 x + 20 - 20 = 2 - 20  ( Subtraction property of equality )

2 x = - 18

Finally:

x = - 18 : 2  ( Division property of equality )

x = - 9

A ) Distributive property, subtraction property of equality, subtraction property of equality, division property of equality.

Step-by-step explanation:

The given equation:

4 ( x + 5 ) = 2 x + 2

4 x + 20 = 2 x + 2 ( Distributive property ),

because: 4 · x + 4 · 5 = 4 x + 20

Then follows :  4 x - 2 x + 20 = 2 x - 2 x + 2  ( Subtraction property of equality )

2 x + 20 = 2

After that:

2 x + 20 - 20 = 2 - 20  ( Subtraction property of equality )

2 x = - 18

Finally:

x = - 18 : 2  ( Division property of equality )

x = - 9