Respuesta :

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..