x = -5/2
Explanation:[tex]5(x\text{ + 2) = 3x + 5}[/tex]Expanding the parenthesis:
[tex]\begin{gathered} 5(x)\text{ + 5(2) = 3x +5} \\ 5x\text{ + 10 = 3x + 5} \end{gathered}[/tex]collect like terms:
[tex]\begin{gathered} \text{subtract 10 from both sides:} \\ 5x\text{ + 10-10 = 3x + 5 - 10} \\ 5x\text{ = 3x - 5} \\ \text{subtract 3x from both sides:} \\ 5x\text{ - 3x = 3x - 3x - 5} \end{gathered}[/tex][tex]\begin{gathered} 2x\text{ = -5} \\ x\text{ = -5/2} \end{gathered}[/tex]