1) Since we have this equation let's work on that to find equivalent equations
[tex]\begin{gathered} \frac{(5x+6)}{2}=3-(4x+12) \\ \text{Multiply both sides by 2} \\ (5x+6)\text{ = 6 -}2(4x+12) \\ (5x\text{ +6) = }6\text{ -8x -24} \\ 5x\text{ +6 =-8x-18} \end{gathered}[/tex]
2) Now let's compare that, we have the last one as equivalent.
[tex]5x\text{ +6 =-8x-18}[/tex]
If we look at the third one, we can see that only on the left side:
[tex]\begin{gathered} \frac{5x+6}{2}=\text{ }\frac{5x}{2}\text{ +}\frac{6}{2} \\ \text{Then} \\ \frac{5x}{2}\text{ +}\frac{6}{2}=3-(4x+12)\text{ } \end{gathered}[/tex]
And finally, the second one, just working on the right side:
[tex]\begin{gathered} \frac{5x+6}{2}=3-(4x+12) \\ \frac{5x+6}{2}=3-4x-12 \\ \frac{5x+6}{2}=-4x-9 \end{gathered}[/tex]
3) So the equivalent ones are the second, the third, and the fifth one.
