Need help fast please !!

the equation solved by kelsey is

⇒7 x-   →[given equation]

⇒ 7 x -1/2×(8 x)-1/2×(2)=6 →[distributive property]

⇒ 7 x- 4 x-1=6

⇒7 x- 4 x=6+1→ [ combining like terms]

⇒3 x=7 → [ subtraction and addition property of equality]

⇒x=7/3   →[ division property of equality]

so, we have used for properties to solve the equation

1. distributive property. 2. combine like terms. 3. subtraction and addition property of equality. 4. division property of equality.