The properties that we can use in order to solve this equation are:
- Reflexive
- Addition
- Subtraction
- Multiplication
- Division
- Distributive
From S1 to S2, the property we applied is the R1 = Subtraction property of equality, because both sides of the equation were subtracted by 32.
From S2 to S3, the property we applied is the R2 = Distributive property of equality, because we expanded the product of 9 by the term (x - 2).
From S3 to S4, we can divide both sides by 9, so we will be using R3 = Division property of equality, and the result would be S4 = x - 2 = 43/9
Then, from S4 to S5, using the addition property of the equality, we added 2 to both sides of the equation, so the result is x = 61/9.
For R5, we can write the Reflexive property of equality, because we are just stating the value of x