Step-by-step explanation:
Hey there!
Given;
[tex] \frac{3}{2} x + \frac{5}{2} = - \frac{1}{2} [/tex]
Add the like terms.
[tex] \frac{3x + 5}{2} = - \frac{1}{2} [/tex]
Now, do cross multiplication.
[tex]2(3x + 5) = - 2[/tex]
Now simplify them to get answer.
[tex]6x + 10 = - 2[/tex]
[tex]6x = - 12[/tex]
[tex]x = \frac{ - 12}{6} [/tex]
Therefore the value of x is -2.
Hope it helps..