Identify the property used in the first four steps to solve the equation 4 (x-7) = 2x-6

4x-28=2x-6

2x-28=-6

2x=22

x=11

the answer choices for each step are Distributive, addition property of equality and multiplication property of equality

d, a, a, m

Step One

Use the distributive Property to remove the brackets on the left hand side.

4 (x - 7) = 2x - 6

4x - 28 = 2x - 6

Step Two

Use the addition property of equality to reduce the 2x on the right.

4x - 2x - 28 = 2x - 2x - 6 Take special note that - 2x is a special case of addition. You are adding a minus. The object is to make 2x on the right equal to zero.

2x - 28 = - 6

Step 3

Use the addition property of equality to reduce - 28 to zero on the left.

2x - 28 + 28 = - 6 + 28

2x = 22

Step 4

Use the multiplication property of equality to reduce 2x to just 1x

2x = 22 Multiply both sides by 1/2

(1/2) * 2x = (1/2) * 22

x = 11

And you are done.