Answer :
Step 1: Write out the equation
[tex]\frac{(3x+5)}{2}=7[/tex]Given
Step 2: Multiply both sides of the equation by 2
[tex]\begin{gathered} \frac{(3x+5)}{2}\times\frac{2}{1}=7\times2 \\ \text{ thus} \\ 3x+5=14 \end{gathered}[/tex]Multiplication Property of Equality
Step 3: Subtract 5 from both sides of the equation
[tex]\begin{gathered} 3x+5-5=14-5 \\ \text{ thus} \\ 3x=9 \end{gathered}[/tex]Subtraction Property of Equality
Step 4: Divide both sides of the equation by 3
[tex]\begin{gathered} \frac{3x}{3}=\frac{9}{3} \\ \text{ thus} \\ x=3 \end{gathered}[/tex]Division Property of Equality