Which property justifies step 1? given: 4(x ? 6) + 12 = 20 step 1: 4x ? 24 + 12 = 20 step 2: 4x ? 12 = 20 step 3: 4x = 32 step 4: x = 8 a) identity property b) distributive property c) addition property of equality d) subtraction property of equality

B) Distributive Property

Step-by-step explanation:

Since, In The distributive property we can multiply a sum by multiplying each addend separately and then add the products.

For example, If we have a expression a(b+c) then by applying distributive property we can write, a(b+c) = ab+ac

Here, given expression, 4(x - 6) + 12 = 20

Step 1. 4x-24 +12 =20    ( by distributive property)

Step 2. 4x - 12 = 20        ( By addition property of equality)

Step 3. 4x = 32

Step 4. x=8                       (division property of equality )

Thus, the correct missing reason in step 1 is  B) Distributive Property.