Question

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

step 1: 4x-28=2x-6
step 2: 2x-28=-6
step 3: 2x=22
step 4: x=11

Answer 1

See explanation

Explanation:

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

Step 1: Use distibutive property of equality

4x-28=2x-6

Step 2: Use addition property of equality (add -2x to both sides)

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

2x-28=-6

Step 3: Use addition property of equality (add 28 to both sides)

2x-28+28=-6+28

2x=22

Step 4: Use division property of equality (divide by 2)

x=11