Notice the following properties of equality:
1. The Addition property of equality states that, if:
[tex]a=b[/tex]Then:
[tex]a+c=b+c[/tex]2. The Subtraction property of equality states that, if:
[tex]a=b[/tex]Then:
[tex]a-c=b-c[/tex]3. The Transitive property of equality states that, if:
[tex]a=b\text{ and }b=c[/tex]Then:
[tex]a=c[/tex]4. The Symmetric property of equality states that, if:
[tex]a=b[/tex]Then:
[tex]b=a[/tex]For this case, you have the following equation:
[tex]5x+2=2x+11[/tex]If you subtract 2 from both sides of the equation, you are applying the Subtraction property of equality:
[tex]\begin{gathered} 5x+2-(2)=2x+11-(2) \\ 5x=2x+9 \end{gathered}[/tex]Therefore, the answer is: Last option (Subtraction property of equality)
