Hi I’m lost on this problem and I really need help

We were given:
[tex]\begin{gathered} \frac{3x-5}{2}=-7 \\ \text{Cross multiply, we have:} \\ 3x-5=-7\times2 \\ 3x-5=-14 \\ \text{Add ''5'' to both sides, we have:} \\ 3x-5+5=-14+5 \\ 3x=-9 \\ \text{Divide both sides by 3, we have:} \\ x=-3 \end{gathered}[/tex]Therefore, we have the reasons as follows:
1. a. Given
2. b. Multiply both sides by ''2'' to eliminate the fraction
3. c. Put like terms together (by adding ''5'' to both sides)
4. d. Divide both sides by the coefficient of x (divide both sides by ''3'')