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

x = 11

distributive law

additive law

multiplication property

Step-by-step explanation:

Given in the question an equation

4 (x-7) = 2x-6

Distributive law

a (b+c) = ab + ac

4x - 4 (7) = 2x - 6

4x - 28 = 2x - 6

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

4x - 2x - 28 = 2x - 2x - 6

4x - 2x - 28 = - 6

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

4x - 2x - 28 + 28 = - 6 + 28

2x = 22

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

2x2 = 22/22

x = 22/2

x = 11